Question

what is the volume of this sphere? round your answer to the nearest hundredth. 11.4 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: Identify radius value

The radius $r = 11.4$ m.

Step3: Substitute and calculate

$V=\frac{4}{3}\times\pi\times(11.4)^{3}=\frac{4}{3}\times\pi\times1481.544$.
$V=\frac{5926.176\pi}{3}\approx\frac{5926.176\times3.14159}{3}$.
$V\approx\frac{18616.387}{3}\approx6205.46$ (rounded to nearest hundred - th).

Answer:

$6205.46$