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 $11$ . If the volume of the solid is $190 pi$ , what is the area of the base of the cylinder?

Question

1251 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-07T12:25:53

Area of base of cylinder is $190pi/14=95/7pi$ .

Let the area of the base of cylinder be $A$ , as its height is $11$ units

volume of cylinder is $11xxA=11A$

volume of cone of height $9$ units will be $1/3xxAxx9=3A$ units

hence total volume is $11A+3A=14A=190pi$

Hence, Area of base of cylinder is $190pi/14=95/7pi$ .

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 9 and the height of the cylinder is 11 11 . If the volume of the solid is 190 pi190 pi, what is the area of the base of the cylinder?