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

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: Identify radius value

The radius $r = 10$ mm.

Step3: Substitute values

Substitute $r = 10$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times10^{3}$. First, calculate $10^{3}=1000$. Then $V=\frac{4}{3}\times3.14\times1000=\frac{4\times3.14\times1000}{3}=\frac{12560}{3}$.

Step4: Round to nearest hundredth

$\frac{12560}{3}\approx4186.67$ cubic - millimeters.

Answer:

$4186.67$