Question

A cylinder is inscribed in a cube. if the edge of the cube is 3" long, find the volume of the cylinderA)27/4 pi in^3 B)27 pi in^3C) 27/2 pi in^3

Answer 1

A) 27/4 pi in^3

Step-by-step explanation:

Given

Length of edge of the cube = 3in

If a cylinder is inscribed in thos cube, then;

Height of the cylinder = length of edge of the cuve = 3in

Radius of the cylinder = 3in/2 = 1.5in

Get the volume of the cylinder:

V = \pi r^2h

Substitute the given value

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

V = \pi * 2.25 * 3

V = 6.75\pi in^3

V = 6 75/100 \pi in^3

V = 6 3/4 \pi in^3

V = 27/4 pi in^3

Hence the volume of the cylinder is 27/4 pi in^3