Question

What is the height of a cylinder with a volume of 936pie cubic inches and a diameter of 24 inches

Answer 1

`V = \pi r^(2)h`


V= 936
`in^(3)`
Diameter=24 (for the radius take 24/2)
Radius (r)= 12in

Answer 2

Height of the cylinder is 6.5 inches.

Explanation:

It is given in the question volume of a cylinder is 936π cubic inches and we have to calculate the height of the cylinder.

Since formula to calculate the volume of a cylinder is

V = πr²h = 936π

Here V is volume

r = radius = (diameter/2) = 24/2 = 12 inches

h = height

By putting these values in the formula

936π = π×(12)²×h

h = 936/144 = 6.5 inches.

Therefore height of the cylinder is 6.5 inches.