Question

The formula to find the volume of a sphere is V = 4/3 * pi * r ^ 3 , wherer is the radius of the sphere. What is the formula in terms of r?

Answer 1

Answer:

r=cube root (3V/4π)

Step-by-step explanation:

We are given the formula for the volumeV of a sphere in terms of its radius r:

V=4/3πr^3

And we are asked to solve for r. The first thing we want to do is multiply both sides by 34π so that we just have r3 on the right sides:

3/4π⋅V=3/4π⋅4/3π(r^3)

Divide out the common factors on the right and arrange as:

r3^=3V/4π

Next, we want to take the cube root of both sides so that we just have r on the left:

cube root (r^3)= cube root (3V/4π)

r=cube root (3V/4π)