Question

Find the radius of a
sphere of volume 60cm³

Answer 1

`2.4286 \:cm`

Explanation:

Volume of a sphere is given by the formula

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

Given V = 60 cm³, we get

`60 = (4)/(3) \cdot \pi \cdot r^3\\\\60 = (4\pi)/(3) r^3\\\\\text{Multiply both sides by $(3)/(4\pi)$}\\60 \cdot (3)/(4\pi) = r^3\\\\(45)/(\pi) = r^3\\\\r^3 = (45)/(\pi)\\\\r^3 = 14.323945`

`r = √(3){14.323945}`
`r = \sqrt[3]{14.323945}\\\\r = 2.4285 \; cm`