Question

A cone and a sphere have the same volume the base of the cone has a radius of 8 feet and the sphere has a radius of 6 feet what is the height of the cone?

Answer 1

Explanation:

Volume of Cone=

`(1)/(3) \pi \: r {}^(2) h`

Volume of Sphere=

`(4)/(3) \pi \: r {}^(3)`

Since VC = VS

`(1)/(3) * 3.14 * 8 {}^(2) * h = (4)/(3) * 3.14 * 216`

66.99h = 904.32

h = 904.32 ÷66.99

h= 13.5 feet