Answer:
602.88 cubic centimeters
Step-by-step explanation:
To find the volume of the composite figure, we find the volume of each solid and add.
The volume of the cylinder is
[tex] V= \pi \: {r}^{2} h[/tex]
Substitute r=4 and h=9.
[tex]V= 3.14\: \times {4}^{2} \times 9 \\ V= 3.14\: \times 16 \times 9[/tex]
[tex]V= 452.16 {cm}^{3} [/tex]
The volume of a cone with the same radius and height is one-third that of the cylinder.
The volume of the cone
[tex] = \frac{452.16}{3} = 150.72 {cm}^{3} [/tex]
The volume of the composite figure is 452.16+150.72=602.88 cubic centimeters.
