Question

A sphere has a surface area of 900 pi ft^2. Find the volume of the sphere.

A. 300 pi ft^3
B. 4500 pi ft^3
C. 1200 pi ft^3
D. 135000 pi ft^3

every time I plug in the numbers my answer is either too high or too low. Please help!

Answer 1

first you use the surface area of a sphere formula

which is

SA = 4pi*r^2

Answer 2

you use that to find the radius

Answer 3

once you have the radius, you use it in the volume of a sphere formula

V = (4/3)*pi*r^3