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

The answer is

27 cm

Explanation:

Volume of a cylinder is given by

V = πr²h

where

h is the height

r is the radius

V is the volume

Since we are finding the height

`h = \frac{V}{\pi {r}^(2) }`

From the question

V = 675π cm³

r = 5 cm

Substitute the values into the formula and solve for the height

That's

`h = \frac{675\pi}{ {5}^(2)\pi } \\ = (675\pi)/(25\pi) \\ = (675)/(25)`

We have the final answer as

27 cm

Hope this helps you