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

Step-by-step explanation:

Volume of Cone=

$\frac{1}{3} \pi \: r {}^{2} h$

Volume of Sphere=

$\frac{4}{3} \pi \: r {}^{3}$

Since VC = VS

$\frac{1}{3} \times 3.14 \times 8 {}^{2} \times h = \frac{4}{3} \times 3.14 \times 216$

66.99h = 904.32

h = 904.32 ÷66.99

h= 13.5 feet