Question

The formula for the volume of a sphere is v=4/3r3 what is the formula solved for r?

Answer 1

Answer:

(3 V/ 4 pi) ^(1/3) =  r

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

We want to solve for r

Multiply each side by 3/4

3/4 V = 4/3*3/4 pi r^3

3/4 V = pi r^3

Divide each side by pi

3/4 V/ pi = pi/pi r^3

3 V/ 4 pi =  r^3

Take the cube root of each side

(3 V/ 4 pi) ^(1/3) = ( r^3) ^1/3

(3 V/ 4 pi) ^(1/3) =  r