Question

question 5 of 10
what is the volume of a sphere with a radius of 21 units?

a. 9261π units³

b. 12,348π units³

c. 588π units³

d. 37,044π units³

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: Substitute $r=21$ into formula

First calculate $r^3$: $21^3 = 21\times21\times21 = 9261$
Then compute $\frac{4}{3} \times 9261$: $\frac{4}{3} \times 9261 = 4\times3087 = 12348$

Step3: Combine with $\pi$

Multiply the result by $\pi$ to get the volume.

Answer:

B. $12,348\pi$ units$^3$