Question

what is the volume of this sphere? round your answer to the nearest hundredth. 35.4 m cubic meters

Explanation:

Step1: Find the radius

The diameter $d = 35.4$ m, and the radius $r=\frac{d}{2}=\frac{35.4}{2}=17.7$ m.

Step2: Use the volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 17.7$ into the formula: $V=\frac{4}{3}\pi(17.7)^{3}$.

Step3: Calculate the volume

$V=\frac{4}{3}\times\pi\times(17.7)^{3}=\frac{4}{3}\times\pi\times5556.333\approx\frac{4}{3}\times3.14159\times5556.333\approx23271.32$ m³.

Answer:

$23271.32$