Question

question 4 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 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 $r=5$

Substitute $r=5$ into the formula: $V = \frac{4}{3}\pi (5^3)$

Answer:

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