Question

what is the volume of this sphere? round your answer to the nearest hundredth. 4 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 $r = 4$ m, we substitute into the formula: $V=\frac{4}{3}\pi(4)^{3}=\frac{4}{3}\pi\times64$.

Step3: Calculate the volume

$V=\frac{256\pi}{3}\approx\frac{256\times3.14159}{3}\approx268.08$ (rounded to the nearest hundredth).

Answer:

$268.08$