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Darya [45]
3 years ago
9

The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer: 27 cm

Step-by-step explanation:

We know that the volume of a cylinder is V=\pi r^2h. Since we were given the volume and radius, we can plug them in and solve for height.

675\pi =\pi (5^2)h              [divide both sides by π]

675 = (5^2)h                  [exponent]

675=25h                     [divide both sides by 25]

h=27

Now, we know that the height is 27 cm.

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