Question

The volume of a cylinder varies jointly with the square of the radius and the height. If the volume of a cylinder is 50.265 cubic

inches when the radius is 2 inches and the height is 4 inches, what is the volume when the radius is 3 inches and the height is 7
inches?
O 89.24 in³
O 65.97 in³
131.95 in³
197.92 in³

Answer 1

197.92 in³

Explanation:

`\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}`

Given:

• r = 3 in
• h = 7 in

Substituting the given values into the formula:

`\begin{aligned} \implies \textsf{Volume of a cylinder} & =\sf \pi (3)^2(7)\\ & = \sf 63 \pi\\ & = \sf 197.92\:in^3\:(nearest\:hundredth)\end{aligned}`