Question

what is the volume of this sphere? round your answer to the nearest hundredth. 22 cm cubic centimeters

Explanation:

Step1: Find the radius

The diameter is 22 cm, so the radius $r=\frac{22}{2}=11$ cm.

Step2: Use the volume formula

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 11$ into the formula: $V=\frac{4}{3}\pi(11)^{3}=\frac{4}{3}\pi\times1331$.

Step3: Calculate the volume

$V=\frac{5324\pi}{3}\approx\frac{5324\times3.14159}{3}\approx5575.28$ $cm^{3}$.

Answer:

$5575.28$