Question

what is the volume of this sphere? round your answer to the nearest hundredth. 14 ft cubic feet

Explanation:

Step1: Identify the radius

The diameter is 14 ft, so the radius $r = \frac{14}{2}=7$ ft.

Step2: Use the volume formula

The volume formula for a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 7$ into the formula: $V=\frac{4}{3}\pi(7)^{3}=\frac{4}{3}\pi\times343$.

Step3: Calculate the volume

$V=\frac{1372\pi}{3}\approx\frac{1372\times 3.14159}{3}\approx1436.76$ cubic - feet.

Answer:

$1436.76$