Question

what is the volume of this sphere? round your answer to the nearest hundredth. 15 ft cubic feet

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius of the sphere.

Step2: Identify radius value

Given that $r = 15$ ft.

Step3: Substitute and calculate

$V=\frac{4}{3}\pi(15)^{3}=\frac{4}{3}\pi\times3375 = 4500\pi\approx4500\times 3.14159 = 14137.1699$

Step4: Round the result

Rounding $14137.1699$ to the nearest hundredth gives $14137.17$.

Answer:

$14137.17$