The volume of this whole figure is the sum of the volume of a cylinder and the volume of a cone. The formula would be:
[tex]V=\pi r^2h+\frac{\pi r^2h}{3}[/tex]
Given,
radius of cylinder and cone: r = 2 (diameter is given as "4" and we know radius is half of diameter, so 4/2 = 2)
height of cylinder is 7
height of cone = 6
Substituting into the formula, we get (we use "3" for pi):
[tex]\begin{gathered} V=\pi r^2h+\frac{\pi r^2h}{3} \\ V=(3)(2)^2(7)+\frac{(3)(2)^2(6)}{3} \\ V=(3)(4)(7)+\frac{(3)(4)(6)}{3} \\ V=84+24 \\ V=108 \end{gathered}[/tex]
The volume is:
108 cubic centimeters
