Question

What is the diameter of a sphere with a volume of 80487 in^3, to the nearest tenth ofan inch?

Answer 1

EXPLANATION

If the volume of a sphere is 80487 in^3, the diameter would be given by the following relationship:

`\text{Volume}=(4)/(3)\cdot\pi\cdot r^3`

Replacing terms:

`80487=(4)/(3)\cdot\pi\cdot r^3`

Isolating r^3:

`(80487)/(\pi)\cdot(3)/(4)=r^3`

Applying the cubic root to both sides:

`\sqrt[]{(80487)/(\pi)\cdot(3)/(4)}=r`

Switching sides:

`r=\sqrt[]{(80487)/(\pi)\cdot(3)/(4)}`

Multiplying numbers: