From the problem, we have an object that is composed of a cylinder and a cone.
The volume formula of a cylinder is :
[tex]V=\pi r^2h_1[/tex]
and the volume formula of a cone is :
[tex]V=\frac{\pi r^2h_2}{3}[/tex]
The total volume will be the sum of these volumes.
[tex]V=\pi r^2h_1+\frac{\pi r^2h_2}{3}[/tex]
From the problem, the cylinder has a radius of r = 2 cm and the height is h1 = 7 cm.
The cone has a radius of r = 2 cm and the height is h2 = 6 cm
Using the formula above, use π = 3.
[tex]\begin{gathered} V=3(2)^2(7)+\frac{3(2)^2(6)}{3} \\ V=84+24 \\ V=108 \end{gathered}[/tex]
The answer is 108 cm^3
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