The volume of the composite solid is A---2,155.48 m
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r^{2} *h[/tex]
Where:
V: It's the volume
r: It is the radius of the cylinder
h: It is the height of the cylinder
We have to:
[tex]V = \pi * (7.2)^{2} * 12\\V = \pi * 51.84 * 12\\V = 1954.32195794513 m^{3}[/tex]
On the other hand, the volume of the cone is given by:
[tex]V = \frac{\pi * r^{2} * h }{3}[/tex]
V: It's the volume
r: It is the cone radius
h: It is the height of the cone
We have:
[tex]V = \frac{\pi * (7.2)^{2} * 11 }{3}[/tex]
[tex]V = \frac{\pi * 51.84 * 11 }{3}[/tex]
[tex]V = 597.153931594347 m^{3}[/tex]
Thus, the total volume is given by:
[tex]V = 2551.47588954 m^{3}[/tex]
If we round up we have:
[tex]V = 2551.48 m^{3}[/tex]
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