what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 4 cm…

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: Identify radius value

The radius $r = 4$ cm.

Step3: Substitute values

Substitute $r = 4$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times4^{3}$. First, calculate $4^{3}=4\times4\times4 = 64$. Then, $V=\frac{4}{3}\times3.14\times64=\frac{4\times3.14\times64}{3}=\frac{803.84}{3}$.

Step4: Calculate and round

$V\approx267.95$ cubic - centimeters.

Answer:

$267.95$