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

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.