We have two separate figures here, that have been combined to make one figure. We need to find the volumes of each figure separately, then add them together to find the total volume.
Formula for the volume of a circular cone: V = 1/3 x pi x r^2 x height
Formula for the volume of a cylinder: V = pi x r^2 x height
Solving for the volume of the circular cone:
V = 1/3 x pi x (2)^2 x 3
V = 1/3 x pi x 4 x 3
V = 1/3 x pi x 12
V = 4 x pi
V = 12.5663706144
Solving for the volume of the cylinder:
V = pi x (2)^2 x 10
V = pi x 4 x 10
V = pi x 40
V = 125.663706144
Adding the two volumes together and rounding:
125.663706144 + 12.5663706144 = 138.230076758
V = 138.2 ft^3
Hope this helps!! :)
