Question

The exact volume of the
cylinder is 63m in3. Find its radius.

Answer 1

If the exact volume of the cylinder is
`63\pi in^(3)` its radius is 3 in

How can the radius be found?

A mathematical quantity known as "volume" in mathematics indicates how much three-dimensional space an object or a closed surface takes up.

Given that

exact volume=
`63\pi in^(3)`

A cylinder's volume is =π r² h

h = height =7in

Then

`63\pi = \pi *r^(2) *7`

`63 = r^(2) *7`

`r^(2) =(63)/(7)`

`r^(2) =9`

`r =√(9)`

r=3 in