Question

what is the volume of this sphere? round your answer to the nearest hundredth. 12.8 yd cubic yards

Explanation:

Step1: Recall volume formula

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

Step2: Identify radius value

The radius $r = 12.8$ yd.

Step3: Substitute and calculate

$V=\frac{4}{3}\pi(12.8)^{3}=\frac{4}{3}\pi\times2097.152$.
$V=\frac{8388.608\pi}{3}\approx\frac{8388.608\times3.14159}{3}$.
$V\approx\frac{26358.227}{3}\approx8786.08$ cubic yards.

Answer:

$8786.08$