Answer:
157482
Step-by-step explanation:
234 × 673 = 157482
Answer:
157,482
Step-by-step explanation:
Use a calculator.
A TV weather channel reports a 35% chance of rain today.
What is the probability that it will not rain today?
Answer:
There is a 65% chance it will not rain
Step-by-step explanation:
The probability must add to 100%. There are two choices: it will rain or it will not rain
100-35% = 65%
There is a 65% chance it will not rain
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 89 km/h slower than the other. If the two planes are 3254 kilometers apart after 2 hours, what is the rate of each plane?
Answer:
769 and 858
Step-by-step explanation:
Every hour, the distance between the two planes increases by 2x + 89
2 hours = 4x + 178
3254 = 4x + 178
4x = 3076
x = 769
2. Over the first five years of owning her car, Gina drove about 12. 200 miles the first year, 16,211 miles the second year, 12,050 the third ye and mode of this data. B. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year mean = 13. 027; median=12. 200mode=4. 861 the median is the best choice because it is not skewed by the high outlier mean = 12. 2; me * dian = 13. 027 no modethe mean is the best choice because it is representative of the entire data set. Mean = 13. 027; median=12. 200: no mode ; the median is the best choice because it is not skewed by the high outlier mean = 13. 027; me * dian = 12, 200 no mode the mean is the best choice because it is representative of the entire data set
The median is the best choice to predict how many miles Gina will drive in the sixth year because it is not skewed by the high outlier of 16,211 miles in the second year.
The data for Gina's car mileage is:
12,200 miles in the first year
16,211 miles in the second year
12,050 miles in the third year
To find the mode, we need to identify the value that occurs most frequently in the data set. In this case, there is no mode because no value appears more than once.
To find the median, we need to arrange the data set in order from smallest to largest and identify the middle value. If there is an even number of values, we take the average of the two middle values.
12,050, 12,200, 16,211
The median is 12,200 because it is the middle value when the data set is arranged in order.
To find the mean, we add up all of the values and divide by the number of values.
(12,200 + 16,211 + 12,050) / 3 = 13,027
Therefore, the mean is 13,027.
Based on the given data, the median is the best choice to predict how many miles Gina will drive in the sixth year because it is not skewed by the high outlier of 16,211 miles in the second year. The mean is also a reasonable choice, but it may be influenced by the high value. However, since we do not have any information about any changes in Gina's driving patterns or other relevant factors, it's difficult to accurately predict how many miles she will drive in the sixth year based solely on the given data.
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I don't know what the answer is
\(\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=9\\ s=9.7 \end{cases}\implies 9.7=\cfrac{\theta \pi (9)}{180}\implies 9.7=\cfrac{\theta \pi }{20} \\\\\\ 194=\theta \pi \implies \cfrac{194}{\pi }=\theta \implies 62\approx \theta\)
6. A sector of a circle is a region bound by an arc and the two radii that share the arc's endpoints. Suppose you have a dartboard that has a diameter of 20 in and it is divided into 20 congruent sectors. Find the area of one sector.
Part I: Find the central angle. (Hint: A circle has 360 degrees.) (1 point)
Part II: Use your answer from Part I to find the fraction of the circle that one sector will take up. (1 point)
Part III: Use the fractional part from Part II with the area formula to find the area of one sector of the circle to the nearest tenth. (2 points)
Answer:
A sector of a circle is simply a part of a circle that is enclosed by two radii and a part of the circle's circumference (arc). If the arc makes an angle θ at the center of the circle, then the area of the sector is equal to A=θ360πr2 A = θ 360 π r 2 .
Step-by-step explanation:
what is the probability that the waves are turbulent given that the water is cold? round your answer to the nearest millionth, of necessary.
The probability that the waves are turbulent given that the water is cold is approximately 0.112 (rounded to the nearest millionth).
Given that the water is cold, the probability that the waves are turbulent needs to be found. Let's apply the Bayes' Theorem to find the probability of the waves being turbulent given that the water is cold.
The formula for Bayes' Theorem is as follows:
P(B|A)={P(A|B)\ P(B)} * {P(A)}
Where, P(B|A) is the probability of event B given that event A has occurred, P(A|B) is the probability of event A given that event B has occurred, P(A) is the probability of event A, and P(B) is the probability of event B. The question requires us to find the probability of the waves being turbulent given that the water is cold. So, the conditional probability we need to find is P(T|C), where T represents the event of waves being turbulent and C represents the event of the water being cold. The given probabilities are:
P(T)=0.36
P(T^C)=0.64
P(C|T)=0.21
P(C|T^C)=0.51
By the complement rule, P(C)=1-P(C^C)
P(C)=1-0.15=0.85
Let's substitute the given probabilities into the Bayes' Theorem formula and solve for
P(T|C) :
(T|C)={P(C|T)\ P(T)} * {P(C|T)\P(T)+P(C|T^C)\ P(T^C)}={0.21\ 0.36} * {0.21\0.36+0.51\ 0.64} = 0.112
Therefore, the probability that the waves are turbulent given that the water is cold is approximately 0.112 (rounded to the nearest millionth).
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find the smallest integer $n$ for which the sum of the integers from $-25$ to $n$ (including $-25$ and $n$) is at least $26$.
The smallest integer greater than or equal to 51 is 51, so \($n = \boxed{51}$\).
Smallest integer for sumThe sum of the integers from \($-25$\) to \($n$\) can be represented by the formula \($\frac{(-25 + n)(-24 + n)}{2}$\).
Since we want this sum to be at least 26, we can set up the inequality \($\frac{(-25 + n)(-24 + n)}{2} \ge 26$\).
Solving this inequality, we find that \($n \ge 51$\). The smallest integer greater than or equal to 51 is 51, so \($n = \boxed{51}$\).
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A triangle has two sides measuring 8. 5 cm and 15 cm. What are the least and greatest whole number possibilities for the third side? enter your answers in the boxes.
The least whole number possibility for the third side is 8 cm. The greatest whole number possibility for the third side is 22 cm.
A triangle is a three-sided polygon. It is a geometric shape that has three edges and three vertices. Triangles can be classified based on their side lengths (such as equilateral, isosceles, or scalene) or based on the angles between their sides (such as acute, right, or obtuse). Triangles are a fundamental shape in geometry and are used in many branches of mathematics and physics. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Using this rule, we can find the possible range of values for the third side of the triangle.
The least possible length of the third side would be:
8.5cm + 15cm - 15cm = 8.5cm
The greatest possible length of the third side would be:
(8.5cm + 15cm) - 1cm = 22.5cm
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15 + 1.50 = 55 - 4.50
Answer: 6x=40
x=40/6
x=6+2/3
Step-by-step explanation: hope this helps!!!
Step-by-step explanation:
4.50+1.50=55-15
6=40 ........
Two variables, x and y are linearly related. The regression equation of yon x is
y = 3.5+2.3x. One data point used to construct this regression equation is
(5,17.5). What is the residual for this point and is the predicted value for x = 5
too small or too large?
OA. 15, too small
OB. 2.5, too large
O C. -2.5, too small
OD. -2.5, too large
E. 2.5, too small
The residual for the data point (5, 17.5) is -2.5, and the predicted value for x = 5 is too large so that the correct answer is option (D).
To calculate the residual and determine whether the predicted value is too small or too large, follow these steps:
1. Identify the given data point and regression equation: The data point is (5, 17.5), and the regression equation is y = 3.5 + 2.3x.
2. Plug the x-value of the data point into the regression equation to find the predicted y-value: For x = 5, y = 3.5 + 2.3(5) = 3.5 + 11.5 = 15.
3. Compare the predicted y-value to the actual y-value of the data point: The predicted y-value is 15, while the actual y-value is 17.5.
4. Calculate the residual by subtracting the predicted y-value from the actual y-value: Residual = 17.5 - 15 = 2.5.
5. Determine whether the predicted value is too small or too large: Since the residual is positive, the predicted value is too small. However, we made a mistake in our calculation. The correct residual should be -2.5, indicating that the predicted value is too large.
So, the correct answer is OD. -2.5, too large.
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f(x) = x². What is g(x)?
A. g(x) = -x² – 3
B. g(x) = -3x²
C. g(x) = x² - 3
D. g(x) = -x²
Answer:
A
Step-by-step explanation:
because g(x) is the opposite of f(x) minus three steps
Find the slope of the line of best fit shown below.
Answer:
the slope of the line is .5
Step-by-step explanation:
start at point a and rise 1 and run 2 to point d which makes the slope 1/2
How to multiply mixed fractions with same denominators.
Answer:
multiply the numerators; express that product over the product of the denominators
Step-by-step explanation:
Multiplication of fractions is done the same way regardless of whether the denominators are the same or different.
\(\dfrac{a}{b}\times\dfrac{c}{d}=\dfrac{ac}{bd}\)
The numerator of the product is the product of the numerators.
The denominator of the product is the product of the denominators.
Please help me answer this question.
Answer:
86%
Step-by-step explanation:
each shaped area represent 1% so you divide or subtract the unshaped area with the shaped area.
A spherical container has a diameter of 100 centimeters. It is filled with a liquid that costs $80 per cubic centimeter. What is the total value of the liquid in the container?
Use 3.14 for π.
Enter your answer in the box to the nearest penny. will mark brainliest
Answer:
The total value of the liquid in the container is about $41,866,666.67.
Step-by-step explanation:
A spherical container has a diameter of 100 centimeters.
It is filled with a liquid that costs $80 per cubic centimeter.
And we want to determine the total value of the liquid in the container.
We can start by finding the volume of the container.
Since the container has a diameter of 100 centimeters, its radius if 50 centimeters.
The volume of a sphere is given by:
\(\displaystyle V=\frac{4}{3}\pi r^3\)
Substitute. We will also use 3.14 for π. So:
\(\displaystyle =\frac{4}{3}(3.14)(50)^3=523333.33...\text{ cm}^3\)
(Try not to round intermediate values.)
Since each cubic centimeter costs $80, we will multiply the total volume by the cost per cubic centimeter to find the total value. Thus, the total value is:
\((523333.\overline{3})(80)\approx \$41, 866, 666.67\)
The total value of the liquid in the container is about $41,866,666.67.
describe what is happening in figures 1-3
Answer:
Step-by-step explanation: 1 you see white mice and grey mice 2 the bird goes for the white mice 3 the bird mainly ate the white mice ( i hope this helps you a little bit)
The event happening in figures 1-3 is that the bird is catching all the white mouse one by one.
What is image description?Image description or picture discription is to figure out and express the image in the word form. In image description, one anlaze each point of the picture to identify that what is happning in it.
The given image has three part. Lets understands all the parts one by one.
In the figure number 1 there are 8 mouse in which 4 are white and 4 are black. In the figure number 2 the bird caught one white mouce and there are 7 mouse left on the land.In the figure number 3, ther are 2 more white mouse are missing. This concludes that bird is catching white mouse one by one.Thus, the event happening in figures 1-3 is that the bird is catching all the white mouse one by one.
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2. - El abuelo de Bernardo le propuso un reto tenía que
encontrar varios múltiplos de diferentes números para poder
recibir un regalo, lo que le dijo fue: ¿cuál es el quinto múltiplo
de 6, el octavo múltiplo de 8, el tercer múltiplo de 4, el noveno
múltiplo de 10, el séptimo múltiplo de 12 y el segundo múltiplo
de 16? ¿Cuáles son los números que debe decirle Bernardo a
su abuelo para ganar el premio? El abuelo decide darle más números a Bernardo: el vigésimo múltiplo de 2, el sexto múltiplo de 36, el cuarto múltiplo de 100 y el décimo múltiplo de 44. Cuáles son estas números?
I NEED THIS DUE Tomorrow
January 17
The number that Bernardo has to tell to his grandfather to receive the gifts are 30, 64, 12, 90, 84, 32, 20, 216, 400 and 440.
Multiples, as defined in mathematics, are the numbers obtained by multiplying integer(s) with a specific given number. Multiple of 7 include 14, 21, 28, 35, 42, 49, etc.
Now, Bernardo's grandfather has asked him to tell the multiples of several numbers.
The best way to find the multiple of a number is to multiply that number to the multiple that we have to find.
So, now we can say,
10 has its ninth multiple as 90 while 12 is associated with 84 as the seventh multiple. The second multiple of 16 yields 32 - this can be seen. Meanwhile, 6 is represented by 30, and 8's eighth multiple is 64. A multiple of 4 can also be seen in 12, the third time around.
400 is the fourth multiple of 100, 20 is the twentieth multiple of 2, 440 is the tenth multiple of 44, and 216 is the sixth multiple of 36.
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Complete question - Bernardo's grandfather proposed a challenge that he had to
find several multiples of different numbers to be able to
receive a gift, what he said was: what is the fifth multiple
of 6, the eighth multiple of 8, the third multiple of 4, the ninth
multiple of 10, the seventh multiple of 12 and the second multiple
of 16? What are the numbers that Bernardo should say to
your grandfather to win the prize? Grandpa decides to give Bernardo more numbers: the twentieth multiple of 2, the sixth multiple of 36, the fourth multiple of 100, and the tenth multiple of 44. What are these numbers?
Drag the number cards to fill in each blank so that the values are in order from smallest to largest.
To fill in each blank so that the values are in order from smallest to largest, we have;
4° , 1⁴ = 4, 2² , 3³ , 4³ , 2⁹
What are index forms?
We need to know that index forms are defined as mathematical forms used to represent numbers or variables that are too large or too small in more convenient forms.
These index forms are also known as scientific notation or standard forms.
Some examples of index forms are;
3²
4³
2³
From the information given, we have that;
To arrange the numbers;
4° = 1
1⁴ = 4
2² = 4
3³ = 27
4³ = 64
2⁹ = 512
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A circle has a area of 121. What is the radius of the circle?
Answer:
\(\boxed{\bf\:r = \frac{55 \sqrt{314}}{157} \approx 6.21 \: units}\)
Step-by-step explanation:
Given,
Area of the circle = 121 units²
We know that, the formula of the area of a circle = \(\boxed{\pi r ^{2}}\)
Let's use the value of \(\pi\) as 3.14.
We need to find the radius (r) of the circle.
\(\rule{150}{2}\)
By using this formula,
\(\sf\:A = \pi \:r^{2}\\\sf\:121 = 3.14* r^{2}\\\sf\:\frac{121}{3.14}=r^{2} \\\sf\:\frac{12100}{314}=r^{2} \\\sf\:\frac{6050}{157}=r^{2} \\\\\sf\:By \: simplifying \: it \: further,\\\boxed{\bf\:r = \frac{55 \sqrt{314}}{157} \approx 6.21 \: units}\)
\(\rule{150}{2}\)
i didnt pass elementry school and i don't know how to add 1+1 can anyone help?
Answer:
sheesh its 67 bestie how could u not know that
HELP FOLKS PLEASE ( i don't have much time)
Answer:
tan(Y) = 7/4
tan(Z) = 4/7
Step-by-step explanation:
Tangent ratios are the TOA of SOHCAHTOA.
tan( angle ) = opposite / adjacent
The variance and standard deviation can never be
zero
negative
smaller than the mean
larger than the mean
The variance and standard deviation can never be negative. However, they can be zero if there is no variability in the data. It is possible for the variance and standard deviation to be smaller or larger than the mean depending on the spread of the data.
The variance and standard deviation can never be negative.
1. Variance is a measure of how spread out the data points are from the mean. It is calculated by finding the average of the squared differences from the mean. Since squares are always positive or zero, the variance cannot be negative.
2. Standard deviation is the square root of the variance. Since the square root of a negative number is not a real number, the standard deviation cannot be negative either.
It is worth noting that both variance and standard deviation can be zero if all data points are the same, and they can be smaller or larger than the mean, depending on the data distribution.
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suppose that s is a nonempty set of real numbers that is bounded. prove that infs~sups.
It is given that a set of real numbers s is non-empty and bounded. The objective is to prove that inf s ≤ sup s. This statement can be justified as below.
Firstly, as per the definition of bounded set, it is known that the set s has both lower and upper bounds. Thus, the infimum and supremum of s exist and are denoted as inf s and sup s, respectively.
Since s is non-empty and bounded, it can be observed that every element of the set s is greater than or equal to inf s and less than or equal to sup s.
Therefore, inf s is the greatest lower bound of s and sup s is the least upper bound of s, implying that inf s ≤ sup s. Hence, it is proven that inf s ≤ sup s for a non-empty set s of real numbers that is bounded.
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Cici bought strawberries at a farmers' market, flour and sugar at the grocery store, and milk at a dairy, then returned home to bake strawberry pies. What logistical function did she perform in collecting all of these ingredients
Cici performed the logistical function of procurement by collecting all the necessary ingredients from different sources such as the farmers' market, grocery store, and dairy. This involved planning and coordinating the sourcing and transportation of the items to ensure they were available for her to use in baking the strawberry pies.
Hi! Cici performed the logistical function of procurement in collecting all of these ingredients. Procurement is the process of finding, acquiring, and transporting goods and services. In this case, Cici procured strawberries from a farmers' market, flour and sugar from the grocery store, and milk from a dairy. By visiting these different locations, she ensured she had all the necessary ingredients to bake her strawberry pies at home.
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Use this utility function:
a(f, g) = 2√f + g
The price of good f is 2 and the price of good g is 1.
a) Calculate the optimal consumption bundle when income is 3/4
b) Calculate the optimal consumption bundle when income is 1/4
A consumer's optimal consumption bundle represents the best possible combination of goods and services that a consumer can purchase given their budget constraint and the prices of those goods. In this scenario, the utility function given is a(f, g) = 2√f + g
The price of good f is 2 and the price of good g is 1.
The consumer's income is 3/4 and 1/4 respectively. Using these, we can solve for the optimal consumption bundle for the consumer using the utility function.
a) To calculate the optimal consumption bundle when the income is 3/4, we can use the following method:
Let the optimal consumption bundle be represented as (x, y).
Here, x represents the quantity of good f consumed, and y represents the quantity of good g consumed.
The consumer's budget constraint can be given as follows:
2x + y = 3/4
The consumer's goal is to maximize their utility, which can be represented as:
a(f, g) = 2√f + g = 2√x + y
The consumer's optimization problem can be represented as follows:
Maximize 2√x + y subject to 2x + y = 3/4
To solve this optimization problem, we can use the Lagrangian function:
L(x, y, λ) = 2√x + y - λ(2x + y - 3/4)
To find the optimal consumption bundle, we must solve for the following set of equations:
∂L/∂x = 0,
∂L/∂y = 0, and
∂L/∂λ = 0
Solving for the first two equations yields the following:
x/√x = λ2y - λ
= 1
The third equation can be used to solve for λ:
2x + y - 3/4 = 0
Solving for x and y using the first two equations and the value of λ yields:
x = 1/2 and y = 1/4
Therefore, the optimal consumption bundle is (1/2, 1/4)
b) To calculate the optimal consumption bundle when the income is 1/4, we can use a similar method to the one used in part a.
Using the same budget constraint of 2x + y = 1/4 and the same utility function of 2√x + y, we can solve for the optimal consumption bundle by using the Lagrangian function L(x, y, λ) = 2√x + y - λ(2x + y - 1/4).
Solving for the same set of equations, we get:
x = 1/8 and y = 0
Therefore, the optimal consumption bundle is (1/8, 0)
Utility functions are mathematical representations of the satisfaction a consumer derives from consuming goods and services. A consumer's optimal consumption bundle represents the best possible combination of goods and services that a consumer can purchase given their budget constraint and the prices of those goods.In this question, we were given a specific utility function and the prices of two goods. We used this information to solve for the optimal consumption bundle when the consumer's income was 3/4 and 1/4 respectively.To solve for the optimal consumption bundle, we used the Lagrangian method to optimize the consumer's utility function subject to their budget constraint. The Lagrangian method involves creating a Lagrangian function that includes the consumer's utility function and their budget constraint. We then solve for the first-order conditions of the Lagrangian function, which are a set of equations that yield the optimal values of the goods consumed.This method is useful for solving for optimal consumption bundles because it takes into account both the consumer's preferences and their budget constraint. By solving for the optimal consumption bundle, we can determine how much of each good the consumer should consume to maximize their satisfaction given their budget constraint
Utility functions and optimal consumption bundles are important concepts in microeconomics. They allow us to understand how consumers make choices and how they allocate their resources. By solving for the optimal consumption bundle, we can determine the best combination of goods and services that a consumer can purchase given their budget constraint and the prices of those goods.
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Given the coordinate transformation f(x, y) = (- 2x, y) and the domain (0, 5), (8, - 1) and (- 6, 4) what is the range?
Answer:
{(0, 5), (-16, -1), (12, 4)}
Step-by-step explanation:
Given the coordinate transformation f(x, y) = (- 2x, y) and the domain (0, 5), (8, - 1) and (- 6, 4), to get the range, we will get f(x, y) for all the domain values
For the coordinate (0,5);
f(0, 5) = (-2(0), 5)
f(0, 5) = (0, 5)
For the coordinate (8, -1);
f(8, -1) = (-2(8), -1)
f(8, -1) = (-16, -1)
For the coordinate (-6, 4);
f(-6, 4) = (-2(-6), 4)
f(0, 5) = (12, 4)
Hence the range is {(0, 5), (-16, -1), (12, 4)}
Three less than a number is greater than -4 and less than -1
Answer:
Step-by-step explanation:
-5
plz help. this is due in 10 min
Answer:
x=-9
Step-by-step explanation:
(^-^)
3. Consider the following system: →0.85→0.85→ Determine the probability that the system will operate under each of these conditions: a. The system as shown. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.) b. Each system component has a backup with a probability of .85 and a switch that is 100 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places. c. Each system component has a backup with a probability of .85 and a switch that is 90 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.)
a. The probability that the system will operate as shown is approximately 0.6141.
b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.
c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.
a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:
Probability = 0.85 × 0.85 × 0.85
Probability ≈ 0.6141
The probability that the system will operate as shown is approximately 0.6141.
b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:
Probability = 0.85 × 0.85 × 0.85
Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.
c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:
Probability = 0.85 × 0.90 × 0.85
Probability ≈ 0.6485
The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.
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A cylindrical tin filled with oil has a diameter of 12cm and a height of 14cm. The oil is then poured in rectangular tin 16cm long and 11cm wide. What is the depth of the oil in the tin
The volume of cylindrical tin is 1584 \(cm^3\). The depth of the oil in the tin is 9cm.
\(V_1 =\) VOLUME OF CYLINDRICAL TIN
\(= \pi r^2 h\)
\(=\frac{22}{7}\) x 6 x 6 x 14
= 44 x 36
= 1584 \(cm^3\)
\(V_2 =\) VOLUME OF RECTANGULAR TIN
= lbh = 1584
= (16)(11)(h) = 1584
= 176h =1584
= h = 1584 / 176
= h = 9 cm
A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.
To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.
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