Question

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

Explanation:

Step1: Recall volume formula

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

Step2: Substitute radius value

Given $r = 5$, substitute it into the formula: $V=\frac{4}{3}\pi(5^{3})$.

Answer:

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