what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 6 mm cubic…

Answer:

$904.32$

Explanation:

Step1: Identify the radius

The diameter is 6 mm, so the radius $r = \frac{6}{2}=3$ mm.

Step2: Use the volume - formula for a sphere

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

Step3: Calculate the volume

First, calculate $3^{3}=3\times3\times3 = 27$. Then, $\frac{4}{3}\times3.14\times27=4\times3.14\times9$ (since $\frac{4}{3}\times27 = 4\times9$). $4\times3.14\times9=12.56\times9 = 113.04\times8=904.32$ cubic millimeters.