Question

The formula for the volume of a sphere is V=4/3pir^3. What is the formula solved for r

Answer 1

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

Explanation:

Given that:

V = 4/3 pi r^3

We have to solve for r So,

Multiplying both sides by 3/4 we get:

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

3/4 V = pi r^3

Dividing both sides by pi we get

3/4 * V/pi = r^3

Now taking under root 3 on both sides we will get value of r as:

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

I hope it will help you!

Answer 2

Explanation:

V = 4/3πr³

4/3πr³ = V

4πr³ = V * 3

r³ = 3V / 4π

r =∛3V / 4π