Answer:
r=cube root (3V/4π)
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)