what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 10 in…

Explanation:

Step1: Find the radius

The diameter is 10 in, so the radius $r=\frac{10}{2}=5$ in.

Step2: Apply the volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 5$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times5^{3}$. First, calculate $5^{3}=5\times5\times5 = 125$. Then, $V=\frac{4}{3}\times3.14\times125=\frac{4\times3.14\times125}{3}=\frac{1570}{3}\approx523.33$ in³.

Answer:

$523.33$