Question

A right circular cylinder having diameter 12 cm and height 15 cm is full ice-cream. The ice-cream is to be filled in cones of height 12 cm and diameter 6 cm having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream.

Answer 1

We have to find the number of cones which can be filled using the ice cream in the cylindrical vessel.

Radius of the cylinder

Height of cylinder

Radius of cone and the hemisphere on it

Height of cone

Let ‘n’ number of cones filled. So we can write it as,

So,

Now put the values to get,

Therefore,