Question

A sphere has a volume of 2,304π mm3. Find the diameter of the sphere.

Answer 1

The volume of the sphere:

`V=2304\pi mm^3`

If r is the radius of the sphere is r, the volume formula can be expressed as:

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

Then:

`\begin{gathered} (4)/(3)\pi r^3=2304\pi \\ r^3=1728 \\ \Rightarrow r=12 \end{gathered}`

The diameter is two times the radius, then:

`\begin{gathered} D=2\cdot r \\ \therefore D=24mm \end{gathered}`