Observe the given figure carefully.
It is a composite cylinder with a hemisphere placed at the top.
The radius of the hemisphere is the same as the radius of the cylinder,
[tex]r=9\text{ yd}[/tex]
The height of the cylindrical part is 5 yards,
[tex]h=5\text{ yd}[/tex]
Consider the formulae,
[tex]\begin{gathered} \text{Volume of cylinder}=\pi r^2h \\ \text{Volume of hemisphere}=\frac{2}{3}\pi r^3 \end{gathered}[/tex]
Consider that the volume of the composite figure will be the sum of the volume of cylindrical and the volume of the hemispherical part,
[tex]\begin{gathered} \text{ Total Volume}=\text{ Volume of cylindrical part}+\text{ Volume of hemispherical part} \\ V=\pi r^2h+\frac{2}{3}\pi r^3 \end{gathered}[/tex]
Substitute the values,
[tex]\begin{gathered} V=\pi(9)^2(5)+\frac{2}{3}\pi(9)^3 \\ V=405\pi+486\pi \\ V=891\pi \\ V=891(3.14) \\ V=2797.74 \end{gathered}[/tex]
Thus, the required volume of the given composite figure is 2797.74 cubic yards.
