Question

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Round to the nearest hundreth Use

3.14 for it pi

Answer 1

`1436.76... units^3`

Explanation:

Recall the formula for the volume of a sphere.

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

The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.

`r = 14/2`
`= 7`

Now that you have the radius, all you need to do is plug it into the volume formula.

`V = (4)/(3)\pi 7^3` =
`1436.76... units^3`

Answer 2

if its diameter is 14, then its radius is half that or 7.

`\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}`