Question

sphere
the volume of a sphere with radius $r$ is given by the formula $v = \frac{4}{3}\pi r^{3}$.
find the volume of a sports ball with radius 13 cm is $cm^{3}$
use 3.14 or the $\pi$ key on your calculator.
round your answer to the nearest tenth if necessary.

Explanation:

Step1: Substitute radius into formula

Substitute $r = 13$ into $V=\frac{4}{3}\pi r^{3}$, so $V=\frac{4}{3}\pi\times(13)^{3}$.

Step2: Calculate $(13)^{3}$

$(13)^{3}=13\times13\times13 = 2197$.

Step3: Calculate volume

$V=\frac{4}{3}\times\pi\times2197$. Using $\pi = 3.14$, we have $V=\frac{4\times3.14\times2197}{3}=\frac{27694.48}{3}\approx9231.5$.

Answer:

$9231.5$