Question

Find the volume of a sphere that has a surface area of 16π sq. in.

Answer 1

Sphere Surface Area = 4 • π • r²

radius = Sq Root (Sphere Surface Area / 4 • π)

radius = Sq Root (16 PI / 4 • π)

radius = Sq Root (4)

radius = 2


Sphere Volume   =   4/3 • π • r³

Sphere Volume   =   4/3 • π • 8

Sphere Volume   =   4.1887902048 * 8

Sphere Volume   =   33.51 cubic inches

Answer 2

SAc = 1/3×pi×r^2
Vc = 4/3×pi×r^3
1/3×pi×r^2 = 16pi
1/3×r^2 = 16
1/3×3×r^2 = 16×3--> r^2 = 48
r = 4sr3
Vc = 4/3×pi×r^3 = 4/3×pi×(4sr3)^3
Vc = 55.43pi cubic in.