Answer:
Volume of the sphere is [tex]2304\pi\ cubic\ unit[/tex] .
Option (C) is correct .
Step-by-step explanation:
Formula
[tex]Volume\ of\ a\ sphere = \frac{4}{3}\pi r^{3}[/tex]
Where r is the radius of the sphere .
As given
A sphere has a diameter of 24 units.
[tex]Radius = \frac{Diameter}{2}[/tex]
[tex]Radius = \frac{24}{2}[/tex]
= 12 units
Putting the value of radius in the formula
[tex]Volume\ of\ a\ sphere = \frac{4\times 12\times 12\times 12}{3}\pi[/tex]
[tex]Volume\ of\ a\ sphere = \frac{6912}{3}\pi[/tex]
[tex]Volume\ of\ a\ sphere = 2304\pi[/tex]
Therefore the volume of the sphere is [tex]2304\pi\ cubic\ unit[/tex] .
Option (C) is correct .
The volume of the sphere is .2,304π cubic units.
A sphere is a 3-dimensional object. Points on the circumference are equidistant from the center.
The volume of the sphere = 4/3πr³
Where:
The diameter is a line that passes through the center of the sphere and touches two points on the circumference. The radius is half of the length of the diameter.
the volume of the sphere = 4/3π12³ = .2,304π cubic units
