what is the volume of this sphere?\nround your answer to the nearest hundredth.\n15 cm\ncubic…

Explanation:

Step1: Recall sphere volume formula

The volume $V$ of a sphere is given by $V = \frac{4}{3}\pi r^3$, where $r$ is the radius.

Step2: Identify the radius

The sphere has a radius $r = 15$ cm.

Step3: Substitute radius into formula

$$ V = \frac{4}{3}\pi (15)^3 $$ Calculate $15^3 = 3375$, so: $$ V = \frac{4}{3}\pi \times 3375 = 4\pi \times 1125 = 4500\pi $$

Step4: Compute numerical value

Using $\pi \approx 3.14159265$, we get: $$ V \approx 4500 \times 3.14159265 = 14137.166925 $$

Step5: Round to nearest hundredth

Round $14137.166925$ to two decimal places.

Answer:

14137.17 cubic centimeters