what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 2 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 the radius

The radius $r = 2$ mm.

Step3: Substitute values

Substitute $r = 2$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times2^{3}$. First calculate $2^{3}=8$. Then $V=\frac{4}{3}\times3.14\times8=\frac{4\times3.14\times8}{3}=\frac{100.48}{3}$.

Step4: Calculate and round

$\frac{100.48}{3}\approx33.49$ (rounded to the nearest hundred - th).

Answer:

$33.49$