what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 12 mm cubic…

Explanation:

Step1: Identify the radius

The diameter is 12 mm, so the radius $r = \frac{12}{2}=6$ mm.

Step2: Apply the volume - formula for a sphere

The volume formula of a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 6$ mm and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times6^{3}$. First, calculate $6^{3}=6\times6\times6 = 216$. Then, $\frac{4}{3}\times3.14\times216$. $\frac{4}{3}\times216 = 288$, and $288\times3.14 = 904.32$.

Answer:

$904.32$