Question

Write an expression for the height, h, of a cylinder with a volume of 54π cubic inches

in terms of its radius, r.

Answer 1

3∛2

Explanation:

A cylinder has a volume of 54 centimeters cubed. Given that its height is equal to the radius of its base, find its height.

V=πr^2h

πr^2h = 54 π

remove π from both sides

r^2h=54

h^2 x H =54

h^3 =54

h=∛54 = ∛27*2 = ∛27 * ∛2 = 3∛2 cm