Question

question 8 of 21
which expression gives the volume of a sphere with radius 17?
a. $4\pi(17^3)$
b. $4\pi(17^2)$
c. $\frac{4}{3}\pi(17^3)$
d. $\frac{4}{3}\pi(17^2)$

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 radius $r=17$

Substitute $r=17$ into the formula: $V = \frac{4}{3}\pi(17^3)$

Step3: Match with options

Compare the derived expression to the given choices.

Answer:

C. $\frac{4}{3} \pi(17^3)$