Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the volume of this sphere? use π ≈ 3.14 and round your answer t…

Question

what is the volume of this sphere? use π ≈ 3.14 and 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: Identify radius value

The radius $r = 9$ m.

Step3: Substitute values

Substitute $r = 9$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times9^{3}$.
First, calculate $9^{3}=9\times9\times9 = 729$.
Then, $V=\frac{4}{3}\times3.14\times729$.
$\frac{4}{3}\times729 = 4\times243=972$.
So, $V = 972\times3.14$.
$V=3052.08$ cubic meters.

Answer:

$3052.08$