What is the volume of a sphere with a surface area of 16π ft²?

8π ft³

1023π ft³

2113π ft³

8513π ft³

-Thanks :)

sii1lver
Feb 22, 2018

#1**+2 **

We need to find the radius...

The surface area is given by : 4 pi * r^2

So

16 pi = 4 pi * r^2 divide both sides by pi

16 = 4r^2 divide both sides by 4

4 = r^2 take the positive root

2 ft = r

So...the volume of a sphere is

(4/3) pi ( radius)^3 =

(4/3) pi (2) ^3

(4/3) pi * 8

(32/3) pi ft^3 ≈ 10.66 pi ft^3

None of the given answers are correct !!!

CPhill
Feb 22, 2018