Question

question 12 of 25 which expression gives the volume of a sphere with radius 17? a. $4\pi(17^{2})$ b. $4\pi(17^{3})$ c. $\frac{4}{3}\pi(17^{2})$ d. $\frac{4}{3}\pi(17^{3})$

Explanation:

Step1: Recall the formula for the volume of a sphere

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

Step2: Substitute the given radius into the formula

Given \(r = 17\), substituting into the formula gives \(V=\frac{4}{3}\pi(17^{3})\).

Answer:

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