what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 12 cm…

Explanation:

Step1: Identify the radius

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

Step2: Use the volume formula

The volume formula for a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 6$ cm and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times6^{3}$.

Step3: Calculate the value

First, calculate $6^{3}=6\times6\times6 = 216$. Then, $\frac{4}{3}\times3.14\times216=4\times3.14\times72$. $4\times3.14 = 12.56$, and $12.56\times72 = 904.32$.

Answer:

$904.32$