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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

User Francina
by
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2 Answers

11 votes

Answer:


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

User Stefan Doychev
by
8.4k points
9 votes

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}

User Mkl
by
7.7k points

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