Question

question 15 of 21 what is the volume of the sphere shown below? a. \\(\frac{8788}{3}\pi\\) units\\(^3\\) b. \\(104\pi\\) units\\(^3\\) c. \\(52\pi\\) units\\(^3\\) d. \\(\frac{676}{3}\pi\\) units\\(^3\\)

Explanation:

Step1: Identify sphere radius

The sphere has a radius $r = 13$ units.

Step2: Recall volume formula

The volume $V$ of a sphere is $V = \frac{4}{3}\pi r^3$.

Step3: Substitute radius into formula

$$V = \frac{4}{3}\pi (13)^3$$

Step4: Calculate $13^3$

$13^3 = 13\times13\times13 = 2197$

Step5: Compute final volume

$$V = \frac{4}{3}\pi \times 2197 = \frac{8788}{3}\pi$$

Answer:

A. $\frac{8788}{3}\pi$ units$^3$