Question

what is the volume of this sphere? round your answer to the nearest hundredth. 40 in cubic inches

Explanation:

Step1: Find the radius

The diameter is 40 in, so the radius $r=\frac{40}{2}=20$ in.

Step2: Use the volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 20$ into the formula: $V=\frac{4}{3}\pi(20)^{3}=\frac{4}{3}\pi\times8000=\frac{32000\pi}{3}$ in³.

Step3: Calculate and round

$V=\frac{32000\pi}{3}\approx\frac{32000\times3.14159}{3}\approx33510.32$ in³.

Answer:

$33510.32$