To find the rate of liquid being poured in.
Answer to Problem 23P
Explanation of Solution
Given:
A container in the shape of inverted cone has height
Calculation:
The diagram is show below:
From the diagram,
The volume of the cone is
Differentiate the above equation with respect to t on both sides.
But the rate of change of volume is also equals to the difference of what is being added (
So,
From equations (1) and (2), equate right hand side expressions
Substitute
Then
Solve for variable k,
If height of the liquid is constant, then the rate of oozing,
That is
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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