Question

The volume of a cylinder is 54pi. If the radius is 3cm, what is the height of the cylinder?

Answer 1

Answer:

6 cm

Step-by-step explanation:

Hello!

The formula for the volume of a cylinder is: $V = \pi r^2h$

• r = radius
• h = height

Solve for h, given volume is 54π, and radius is 3:

• $V = \pi r^2h$
• $54\pi = \pi(3)^2h$
• $54 = 9h$
• $h = 6$

We can check:

• $V = \pi r^2h$
• $V = \pi(3)^2*(6)$
• $V = 54\pi$

Correct! The height is 6 cm.