Answer
The volume of the cylinder is\[972\pi \text{ c}{{\text{m}}^{3}}\text{ or 3,054 c}{{\text{m}}^{3}}\].
Work Step by Step
The diameter of the sphere is 18cm. 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 pie. 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:
\[\begin{align}
& \text{Radius}=\left( \frac{1}{2}\times 18 \right)\text{cm} \\
& =9\text{cm}
\end{align}\]
Compute the volume of the sphere using the equation as shown below:
\[\begin{align}
& \text{Volume of the Sphere }\left( V \right)=\frac{4}{3}\left( \pi {{\left( 9\text{ cm} \right)}^{3}} \right) \\
& =972\pi \text{ c}{{\text{m}}^{3}} \\
& =3,054\text{ c}{{\text{m}}^{3}}
\end{align}\]
