A solid consists of a cone on top of a cylinder with a radius equal to that of the cone. The height of the cone is 9 and the height of the cylinder is 6. If the volume of the solid is 140π, what is the area of the base of the cylinder?

1 Answer
May 11, 2018

Area of Base =140π9

Explanation:

Cone Volume = (13)(π)(r2)h where h = 9
Cylinder Volume = (π)(r2)h where h = 6

Note: Area of the Base = B= (π)(r2) so we can replace in the formulas as well since Radius is same for both solids.

Total Volume = Cone Volume + Cylinder Volume
140π=(13)B(9)+B(6)
140π=3B+6B=9B
B=140π9