Find the volume of the sphere. express your answer in term of Pie

Question

asked Jan 27, 2020 76.2k views

1 Answer

Justin Beckwith · Answer 1 · 2020-02-01T20:21:09+0000

Answer:

$\large\boxed{36\pi}$

Explanation:

The formula of a volume of a sphere:

$V=(4)/(3)\pi R^3$

R - radius

We have R = 3 ?. Substitute

$V=(4)/(3)\pi(3^3)=(4)/(3)\pi(27)=(4)\pi(9)=36\pi$

If the radius is 30, then the volume is:

$V=(4)/(3)\pi(30^3)=(4)/(3)\pi(27,000)=(4)\pi(9,000)=36,000\pi$

If 30 is the length of diameter, then the radius R = 30 : 2 = 15.

Therefore the volume:

$V=(4)/(3)\pi(15^3)=(4)/(3)\pi(3,375)=(4)\pi(1,125)=4,500\pi$