what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 16 mm…

Explanation:

Step1: Find the radius

The diameter is 16 mm, so the radius $r=\frac{16}{2}=8$ mm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 8$ mm and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times8^{3}$.

Step3: Calculate the volume

First, calculate $8^{3}=8\times8\times8 = 512$. Then, $V=\frac{4}{3}\times3.14\times512=\frac{4\times3.14\times512}{3}=\frac{6430.72}{3}\approx2143.57$ $mm^{3}$.

Answer:

2143.57