Question

A sphere has a volume that is 36x cubic meters. Find the radius of the sphere.6m3 m12 m2 m

Answer 1

Given a sphere of Volume, V = 36πm³

The formula to find the volume, V, of a sphere is given below,

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

Where r is the radius of the sphere,

To find r, by substituting for V into the formula above,

`\begin{gathered} \text{Where V =36}\pi m^3,\text{ r = r} \\ 36\pi=(4)/(3)\pi r^3 \\ \text{Crossmultiply} \\ 36\pi*3=4\pi r^3 \\ \text{Divide both sides by 4}\pi \\ (4\pi r^3)/(4\pi)=(36\pi*3)/(4\pi) \\ r^3=27 \\ cubic\text{ root of both sides } \\ \sqrt[3]{r^3}=\sqrt[3]{27} \\ r=3m \end{gathered}`

Hence, radidus r = 3m