What is the volume of a sphere with a surface area of 16π ft²?
We need to find the radius...
The surface area is given by : 4 pi * r^2
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 !!!