Question

what is the volume of this sphere? round your answer to the nearest hundredth. 9 m cubic meters

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 $r = 9$ m, so $V=\frac{4}{3}\pi(9)^{3}$.
First, calculate $(9)^{3}=9\times9\times9 = 729$.
Then, $V=\frac{4}{3}\pi\times729$.
$\frac{4}{3}\times729 = 4\times243=972$.
So $V = 972\pi$.

Step3: Calculate and round

Using $\pi\approx3.14159$, $V\approx972\times3.14159 = 3053.62848$.
Rounding to the nearest hundredth, $V\approx3053.63$ $m^{3}$.

Answer:

$3053.63$