what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 4 in…

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: Substitute the radius value

Given $r = 4$ inches and $\pi\approx3.14$, we substitute into the formula: $V=\frac{4}{3}\times3.14\times4^{3}$. First, calculate $4^{3}=4\times4\times4 = 64$. Then, $V=\frac{4}{3}\times3.14\times64$. $V=\frac{4\times3.14\times64}{3}=\frac{803.84}{3}\approx267.95$ (rounded to the nearest hundred - th).

Answer:

$267.95$