The volume V and the surface area S of a sphere of radius r are given by the formulas V = 4 3 𝜋r3 and S = 4𝜋r2. Express V as a function of S. V(S) =

Answer 1

Hello, Justerini,

V = (4/3)πr³

Since S = 4πr² , let's rewrite the expression for V as:

V =( (1/3)r)*(4πr²)

This allows us to use S in place of (4πr²):

V =( (1/3)r)*(S)

V = (rS)/3

Bob