Question

what is the volume of this sphere? round your answer to the nearest hundredth. 5.6 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.

Step2: Substitute radius value

Given $r = 5.6$ mm, so $V=\frac{4}{3}\pi(5.6)^{3}$.
First, calculate $(5.6)^{3}=5.6\times5.6\times5.6 = 175.616$.
Then, $V=\frac{4}{3}\pi\times175.616$.
$V=\frac{4\times175.616\pi}{3}=\frac{702.464\pi}{3}$.
Using $\pi\approx3.14159$, $V=\frac{702.464\times3.14159}{3}$.
$702.464\times3.14159 = 2206.767798$.
$V=\frac{2206.767798}{3}\approx735.59$.

Answer:

$735.59$