Question

The formula for the volume V of a cylinder is V=πr2h, where r is the radius of the base and h is the height of the cylinder. Select the formula for h. Then select the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

V = πr^2h

Divide each side by πr^2:

V / πr^2 = h.

Height of the given cylinder

= 36π / π3^2

= 36/9

= 4.

Height = 4 cm.

Answer 2

Answer:

see explanation

Step-by-step explanation:

Given

V = πr²h ( isolate h by dividing both sides by πr² )

$\frac{V}{\pi r^2}$ = h

When V = 36π , r = 3 , then

h = $\frac{36\pi }{\pi (3)^2}$ = $\frac{36\pi }{9\pi }$ = 4 cm