Question

The volume of a sphere is 12348 pi in ³ calculate the radius of the sphere

Answer 1

The volume of a sphere is given by the expression:

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

Where V is the volume and r is the radius of the sphere. Solve this expression for r and replace for the given values to find the radius of the sphere, this way:

`\begin{gathered} V=(4)/(3)\pi\cdot r^3 \\ 12348\pi=(4)/(3)\pi\cdot r^3 \\ (12348\pi)/(\pi)\cdot(3)/(4)=r^3 \\ 9261=r^3 \\ r=\sqrt[3]{9261} \\ r=21 \end{gathered}`

The radius of the sphere is 21 inches.