Answer :

Given:

Diameter is, d = 7

Radius is,

[tex]r=\frac{7}{2}[/tex]

Height is,

[tex]h=5.5[/tex]

To find: The volume of the figure.

Explanation:

The volume of the figure is,

[tex]\begin{gathered} V=Volume\text{ of Cylinder - Volume of hemisphere} \\ V=\pi r^2h-\frac{2}{3}\pi r^3 \end{gathered}[/tex]

Substituting the given values, we get

[tex]\begin{gathered} V=\frac{22}{7}\times(\frac{7}{2})^2\times5.5-\frac{2}{3}\times\frac{22}{7}\times(\frac{7}{2})^3 \\ =211.66481-89.79719 \\ \approx121.87unit^3 \end{gathered}[/tex]

Final answer:

The volume of the figure is 121.87 cubic units.