2 Answers

Chikei · Answer 1 · 2022-12-08T21:21:39+0000

Given:

A prism has a base area of
$20\pi$ square units and a volume of
$120\pi$ cubic units.

To find:

The volume of the cylinder if the cylinder has the same base area and height.

Solution:

Volume of a prism is:

V=Bh

Where, B is the base area and h is the height of the prism.

The volume of cylinder is:

$V=\pi r^2h$

V=Bh

Where, r is the radius, h is the height of the cylinder and
$B=\pi r^2$ is the base area.

Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.

Hence the volume of the cylinder is
$120\pi$ cubic units.

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