Question

18)

A cone with a height of 9 cm has a volume of 48π cm3. What is the radius of the cone? (The volume of a cone is given by the formula V = 1/3πr2h.)
A) 2 cm
B) 3 cm
C) 4 cm
D) 6 cm

Answer 1

C) 4 cm

Explanation:

we know that

The volume of the cone is given by the formula

`V=(1)/(3)\pi r^(2) h`

we have

`V=48\pi\ cm^3`

`h=9\ cm`

substitute the given values

`48\pi=(1)/(3)\pi r^(2) (9)`

simplify

`48=3r^2\\r^2=16\\r=4\ cm`