Question

Was working on my math skills and couldn't figure this out

Answer 1

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:

`V=\pi r^2h+(\pi r^2h)/(3)`

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):

`\begin{gathered} V=\pi r^2h+(\pi r^2h)/(3) \\ V=(3)(2)^2(7)+((3)(2)^2(6))/(3) \\ V=(3)(4)(7)+((3)(4)(6))/(3) \\ V=84+24 \\ V=108 \end{gathered}`

The volume is:

108 cubic centimeters