Respuesta :

Volume of a cylinder is defined as:

v = volume

r = radius

h = height.

V = [tex]\pi[/tex](r^2)h

In this problem,

v = 1,356.48 in^3

r = 6 in

h = ?

Plug our numbers into the volume formula above.

1,356.48 in^3 = [tex]\pi[/tex](6^2)h

Divide both sides by [tex]\pi[/tex](6^2) to isolate variable h

12.0 = h

The height of the cylinder is 12.0 inches