Answer:
254.3 cubic mi.
Explanation:
The given composite figure is made up of a cylinder and a hemisphere with the following dimensions:
Cylinder
• Height = 7 mi
,• Base Radius = 3 mi
Hemisphere
• Base Radius = 3 mi
Thus:
[tex]\begin{gathered} \text{Volume of the composite figure=Vol. of Cylinder+Vol. of Hemisphere} \\ =\pi r^2h+\frac{2}{3}\pi r^3 \end{gathered}[/tex]Substitute the given values:
[tex]\begin{gathered} V=(\pi\times3^2\times7)+(\frac{2}{3}\times\pi\times3^3) \\ =63\pi+18\pi \\ =81\pi\; =81\times3.14 \\ \approx254.3\text{ }mi.^3\text{ (to the nearest tenth)} \end{gathered}[/tex]The volume of the composite figure is 254.3 cubic mi.