Question

what is the volume of this sphere? round your answer to the nearest hundredth. 13.1 mm cubic millimeters

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius of the sphere.

Step2: Identify radius value

The radius $r = 13.1$ mm.

Step3: Substitute and calculate

$V=\frac{4}{3}\pi(13.1)^{3}=\frac{4}{3}\pi\times2248.091$.
$V=\frac{8992.364\pi}{3}\approx\frac{8992.364\times3.14159}{3}$.
$V\approx\frac{28259.977}{3}\approx9419.99$ cubic - millimeters.

Answer:

$9419.99$