Question

what is the volume of this sphere? round your answer to the nearest hundredth. 10.4 yd cubic yards submit

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. Here $r = 10.4$ yd.

Step2: Substitute radius value

$V=\frac{4}{3}\pi(10.4)^{3}=\frac{4}{3}\pi\times1124.864$.

Step3: Calculate the volume

$V=\frac{4499.456\pi}{3}\approx\frac{4499.456\times3.14159}{3}\approx4788.68$ (rounded to the nearest hundredth).

Answer:

$4788.68$