Problem 24

Given information

The given information is

A cone of radius and height is lowered point first at a rate of in a tall cylinder of radius cm which is partially filled with water.  

To find: The water level raising at the instant the cone is completely submerged.

Step-by-step explanation

Calculations:

Let be the depth that the cone is submerged.

We are given that  

The volume of water that is displaced is given by the formula ,    where is obtained from the relation 

or,