Question

select the correct answer.
a sphere has a diameter of 24 units. what is its volume in cubic units?
a. 576π cubic units
b. 1,728π cubic units
c. 2,304π cubic units
d. 6,912π cubic units

Explanation:

Answer:

First, find the radius of the sphere. The diameter is 24 units, so the radius \( r=\frac{24}{2}=12 \) units.

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

Substitute \( r = 12 \) into the formula:

\( V=\frac{4}{3}\pi(12)^{3}=\frac{4}{3}\pi\times1728 = 4\times576\pi=2304\pi \) cubic units.

So the correct option is C. 2,304π cubic units