The volume, V, of a cylinder is V= \pi^2h, where r is the radius of the cylinder and h is the height. Using rounding to the near

Question

3 years ago

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The volume, V, of a cylinder is V= \pi^2h, where r is the radius of the cylinder and h is the height. Using rounding to the near

est whole number,which of the following is an estimate of the volume of a cylinder with radius of 2.75 inches and height of 5.21 inches?
A. 45 in.^3
B. 90 in.^3
C. 135 in.^3
D. 216 in.^3

Mathematics

1 answer:

mylen [45] · Answer 1 · 2022-02-21T15:23:34+03:00

To solve this problem you must apply the proccedure shown below:

You have that the radius of the cylinder is 2.75 inches and the height is 5.21 inches. Therefore, you only need to substitute these values into the formula for calculate the volume of a cylinder:

$V=\pi r^{2}h\\V=\pi(2.75in)^{2}(5.21in)\\V=123.78in^{3}=124in^{3}$

Therefore, as you can see, the answer is: The volume of the cylinder is 124 in³.