Answer:
Volume of the sphere is \(2304\pi\ cubic\ unit\) .
Option (C) is correct .
Step-by-step explanation:
Formula
\(Volume\ of\ a\ sphere = \frac{4}{3}\pi r^{3}\)
Where r is the radius of the sphere .
As given
A sphere has a diameter of 24 units.
\(Radius = \frac{Diameter}{2}\)
\(Radius = \frac{24}{2}\)
= 12 units
Putting the value of radius in the formula
\(Volume\ of\ a\ sphere = \frac{4\times 12\times 12\times 12}{3}\pi\)
\(Volume\ of\ a\ sphere = \frac{6912}{3}\pi\)
\(Volume\ of\ a\ sphere = 2304\pi\)
Therefore the volume of the sphere is \(2304\pi\ cubic\ unit\) .
Option (C) is correct .
