To find: The way that will require less work.
Answer to Problem 19E
Less work is required through a hose attached to the bottom of the tank.
Explanation of Solution
Given information:
The lake is 15 ft below the bottom of the tank.
Radius 2 ft and height 6 ft.
Weight
Formula used:
The work to move an object from
Calculation:
Let
(i)
The work through the valve is
Hence the total work can be calculated by:
(ii)
The work through the rim is
Hence the total work can be calculated by
Therefore, the less work is required to use the valve at the bottom.
Chapter 7 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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