Question

A cylinder is inscribed in a cube. If the edge of the cube is 3" long, find the volume of the cylinder.

Answer 1

21.2 cubic inches

Explanation:

Supposing that the diameter of the cylinder match with the longitude of the edge of the cube (see figure attached); then, cylinder's diameter (D) and height (h) are equal to 3 inches.

The volume of the cylinder (V) is calculated as follows:

V = π*(D^2)/4*h

V = π*(3^2)/4*3

V = 21.2 cubic inches

Answer 2

The volume of cylinder is 21.21 units³.

Explanation:

The side length of cube is 3 units.

If a cylinder is inscribed in that cube, then radius of the cylinder is 1.5 units and height of the cylinder is 3 units.

The volume of the cylinder is

`V=\pi r^2h`

The volume of cylinder is

`V=\pi * (1.5)^2* (3)`

`V=21.20575`

`V\approx 21.21`

Therefore the volume of cylinder is 21.21 units³.