Question

question 2 of 10
which expression gives the volume of a sphere with radius 5?
a. $\frac{4}{3}\pi(5^{2})$
b. $4\pi(5^{2})$
c. $4\pi(5^{3})$
d. $\frac{4}{3}\pi(5^{3})$

Explanation:

Step1: Recall the volume formula of a sphere

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

Step2: Substitute the radius \(r = 5\) into the formula

When \(r = 5\), we substitute it into the formula \(V=\frac{4}{3}\pi r^{3}\), getting \(V=\frac{4}{3}\pi(5^{3})\)

Answer:

D. \(\frac{4}{3}\pi(5^{3})\)