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

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: Substitute radius value

Given $r = 6$ cm and $\pi\approx3.14$, we substitute into the formula: $V=\frac{4}{3}\times3.14\times6^{3}$. First, calculate $6^{3}=6\times6\times6 = 216$. Then, $V=\frac{4}{3}\times3.14\times216$. $\frac{4}{3}\times216 = 288$. So, $V = 288\times3.14$.

Step3: Calculate the volume

$V=288\times3.14 = 904.32$ $cm^{3}$.

Answer:

$904.32$