Question

what is the volume of this sphere? round your answer to the nearest hundredth. 29.2 ft cubic feet

Explanation:

Step1: Identify radius

The diameter is 29.2 ft, so the radius $r=\frac{29.2}{2}=14.6$ ft.

Step2: Apply volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 14.6$ into the formula: $V=\frac{4}{3}\pi(14.6)^{3}$.

Step3: Calculate volume

$V=\frac{4}{3}\pi\times3052.576\approx\frac{4}{3}\times3.14159\times3052.576\approx12781.23$ cubic - feet.

Answer:

$12781.23$