Answer:
A) 27/4 pi in^3
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
