Answer
The volume of the sphere is\[2,304\pi \text{ in}{{\text{.}}^{3}}\text{ or }7,238\text{ in}{{\text{.}}^{3}}\]
Work Step by Step
The diameter of the sphere is 24 in. The volume is expressed in terms of cubic units. The volume of a sphere will be computed by multiplying the cube of the radius with the value of π. Now, multiply the final resultant figure with four-third to get the volume of a sphere.
Firstly, compute the radius of the cylinder using the equation:
\[\begin{align}
& \text{Radius}=\left( \frac{1}{2}\times 24 \right)\text{ in}\text{.} \\
& =12\text{ in}
\end{align}\]
Compute the volume of the sphere using the equation as shown below:
\[\begin{align}
& \text{Volume of the Sphere (}V\text{)}=\frac{4}{3}\left( \pi {{\left( 12\text{ in}\text{.} \right)}^{3}} \right) \\
& =2,304\pi \text{ in}{{\text{.}}^{3}} \\
& =7,238\text{in}{{\text{.}}^{3}}
\end{align}\]