Question

Find the volume of the composite figure to the nearest hundredth

Answer 1

Given:

Diameter is, d = 7

Radius is,

`r=(7)/(2)`

Height is,

`h=5.5`

To find: The volume of the figure.

Step-by-step explanation:

The volume of the figure is,

`\begin{gathered} V=Volume\text{ of Cylinder - Volume of hemisphere} \\ V=\pi r^2h-(2)/(3)\pi r^3 \end{gathered}`

Substituting the given values, we get

`\begin{gathered} V=(22)/(7)*((7)/(2))^2*5.5-(2)/(3)*(22)/(7)*((7)/(2))^3 \\ =211.66481-89.79719 \\ \approx121.87unit^3 \end{gathered}`

Final answer:

The volume of the figure is 121.87 cubic units.