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

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.

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