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

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius. Given the diameter is $10$ yd, the radius $r=\frac{10}{2}=5$ yd.

Step2: Substitute values

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 $V=\frac{4}{3}\times3.14\times125$. $\frac{4}{3}\times3.14\times125=\frac{4\times3.14\times125}{3}=\frac{1570}{3}\approx523.33$ (rounded to the nearest hundred - th).

Answer:

$523.33$