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

Sagot :

chetankachana

Answer:

6 cm

Step-by-step explanation:

Hello!

The formula for the volume of a cylinder is: [tex]V = \pi r^2h[/tex]

  • r = radius
  • h = height

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

  • [tex]V = \pi r^2h[/tex]
  • [tex]54\pi = \pi(3)^2h[/tex]
  • [tex]54 = 9h[/tex]
  • [tex]h = 6[/tex]

We can check:

  • [tex]V = \pi r^2h[/tex]
  • [tex]V = \pi(3)^2*(6)[/tex]
  • [tex]V = 54\pi[/tex]

Correct! The height is 6 cm.

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