Question

A cone has a volume of 37.68cm3. If the height of the cone is 9cm what is the radius of the cone's

base?
cm
Radius:
(Use 3.14)

Answer 1

`2cm`

Explanation:

Volume of a cone=
`\pi r^2(h)/(3)`

Substitute:
`37.68cm^3=\pi r^2((9)/(3))`

`37.68cm^3=\pi r^2(3)`

`37.68cm^3=\pi r^2(3)` Divide by 3

`12.56cm=\pi r^2` Divide by pi

`4cm=r^2`

`r=√(4)`

`r=2`