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 42 and the height of the cylinder is 10. If the volume of the solid is 240π, what is the area of the base of the cylinder?

1 Answer
Dec 19, 2016

31.42 sq units.

Explanation:

Let the radius = r unit.

We know volume of cone = 13π.r2.h cubic units

13π.r2.42=14.π.r2 cubic units.

And the volume of cylinder = π.r2.h

π.r2.10 cubic units.

Now as per questions :-

14.π.r2+10.π.r2=240.π

π.r2.(14+10)=240.π

r2=240.π24.π

r2=10

Now base of the cylinder = π.r2 sq units

227.10=31.42 sq units.