The composite figure is a cylinder and a cone. The volume of the figure is the sum of the volume of the cylinder and the cone. Thus, the formula is:
[tex]V=\pi r^2h+\frac{\pi r^2h}{3}[/tex]
Given,
radius of cylinder and cone:
r = 2 (the diameter given is 4 and we know radius is half of diameter, thus, r = 4/2 = 2)
height of cylinder = 8
height of cone = 3
Substituting, we have:
[tex]\begin{gathered} V=\pi r^2h+\frac{\pi r^2h}{3} \\ V=\pi(2)^2(8)+\frac{\pi(2)^2(3)}{3} \\ V=(3)(4)(8)+\frac{(3)(4)(3)}{3} \\ V=96+12 \\ V=108in^3 \end{gathered}[/tex]
The volume is:
108 cubic inches
