Given a sphere of Volume, V = 36πm³
The formula to find the volume, V, of a sphere is given below,
[tex]V=\frac{4}{3}\pi r^3[/tex]
Where r is the radius of the sphere,
To find r, by substituting for V into the formula above,
[tex]\begin{gathered} \text{Where V =36}\pi m^3,\text{ r = r} \\ 36\pi=\frac{4}{3}\pi r^3 \\ \text{Crossmultiply} \\ 36\pi\times3=4\pi r^3 \\ \text{Divide both sides by 4}\pi \\ \frac{4\pi r^3}{4\pi}=\frac{36\pi\times3}{4\pi} \\ r^3=27 \\ cubic\text{ root of both sides } \\ \sqrt[3]{r^3}=\sqrt[3]{27} \\ r=3m \end{gathered}[/tex]
Hence, radidus r = 3m
