14 Nov 2021
Problem 24
Page 329
Section: Focus on Problem Solving
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
14 Nov 2021
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
Step 1.
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,