Question

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

Answer 1

6 cm

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.