Question

what is the volume of this sphere? round your answer to the nearest hundredth. 8 cm cubic centimeters

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.

Step2: Identify radius value

The radius $r = 8$ cm as given in the problem.

Step3: Substitute and calculate

Substitute $r = 8$ into the formula: $V=\frac{4}{3}\pi(8)^{3}=\frac{4}{3}\pi\times512=\frac{2048\pi}{3}$.
Using $\pi\approx3.14159$, we have $V=\frac{2048\times3.14159}{3}\approx2144.66$.

Answer:

$2144.66$