Question

what is the volume of this sphere? round your answer to the nearest hundredth. 24 cm cubic centimeters

Explanation:

Step1: Find the radius

The diameter $d = 24$ cm, and the radius $r=\frac{d}{2}=\frac{24}{2}=12$ cm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 12$ into the formula: $V=\frac{4}{3}\pi\times(12)^{3}=\frac{4}{3}\pi\times1728$.

Step3: Calculate the volume

$V=\frac{4\times1728\pi}{3}=4\times576\pi = 2304\pi$. Using $\pi\approx3.14159$, $V\approx2304\times3.14159 = 7238.23$.

Answer:

$7238.23$