Question

A cone has a volume of 75 pie and a height of 9 cm.

What is the cone's diameter?
Enter your answer in the box.

Answer 1

Volume of the cone is given by

`V = \frac{\pi {r}^(2)h }{3} = 75\pi`

`= > \frac{\pi {r}^(2)9 }{3} = 75\pi`

`= > {r}^(2) = (75\pi)/(\pi * 3) = 25`

`= > r = √(25) = 5`

Diameter of the cone = 2×5 cm = 10 cm