Question

A soccer ball has a diameter of 5in. Find the volume

Answer 1

The relation between the diameter (D) and the radius (r) is:

`\begin{gathered} r=(D)/(2) \\ \text{ Substituting with D = 5 in:} \\ r=(5)/(2)\text{ in} \end{gathered}`

The volume of a sphere is computed as follows:

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

Substituting with r = 5/2 in, we get:

`\begin{gathered} V=(4)/(3)\pi((5)/(2))^3 \\ V=(4)/(3)\pi((5^3)/(2^3)) \\ V=(4)/(3)\pi((125)/(8)) \\ V=65.45\text{ in}^3^{} \end{gathered}`