Question

Find the volume of a cone with a base area 36pi and a height equal to twice the radius

Answer 1

The volume of a cone is
`V= (1)/(3) A_{\text{basis}}\cdot H`. Since
`A_{\text{basis}}=36\pi` and you know that basis is a circle you can conclude that
`\pi R^2=36\pi` and
`R=6`.

If height
`H` equal to twice the radius
`R`, then
`H=2R=2\cdot 6=12`.

The volume will be:
`V= (1)/(3) \cdot 36\pi \12=144\pi` cubic units.