Question

A conical Cup Contains water equal to 1/8 of
its volume. what is ratio of height of cone
to depth of water?​

Answer 1

Answer:

We know that the volume of a right circular cone is given by V=πr2h . Using this we can conclude from the question that :

r2hR2H=18

Now, consider the following diagram.

see the image for diagram

Clearly, the triangles ABC and AMN are similar and we can write :

MNBC=AMAB

⇒ rR=hH

Using the relation from the volumes, we can substitute the above and write :

h3H3=18

⇒ hH=12