Question

The volume V of a sphere is given by V(r)=43r3 where r is the length of the radius. Write a function that gives the radius in terms of the volume.

Answer 1

Answer:
`r=\sqrt[3]{(3V)/(4\pi)}`

Explanation:

Given

The volume of a sphere is given by

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

Now isolating
`r^3`

Divide both sides by
`(4)/(3)\pi`

`\Rightarrow (V(r))/((4)/(3)\pi )=r^3\\\\\Rightarrow r^3=(3V)/(4\pi)\\\\\Rightarrow r=\sqrt[3]{(3V)/(4\pi)}`