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

User ENca
by
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1 Answer

9 votes

Answer:

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.

User Kota
by
7.9k points