Question

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

Answer 1

Answer:

$1436.76... units^3$

Step-by-step explanation:

Recall the formula for the volume of a sphere.

$V = \frac{4}{3} \pi r^3$

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.

$V = \frac{4}{3}\pi 7^3$ = $1436.76... units^3$

Answer 2

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

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