Question

Suppose you know the surface area of a sphere. Explain how you would find the volume of the sphere. Provide an example.

Answer 1

The surface area of a sphere is...

A = 4 pi r^2

We would find the radius in which we make this an equation of the radius.

r = (sqrt A pi) / 2 pi

Once we identify r we would then input the radius in the equation for the volume of a sphere....

V = 4/3 pi r^3