Question

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?

Answer 1

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.