Concept explainers
To write a differential formula that estimates the change in volume of a right circular cylinder and to use it to estimate the change in volume.
Answer to Problem 35E
The differential equation that estimates the change in volume of a right circular cylinder is
The change in volume of the right circular cylinder is
Explanation of Solution
Given information:
The geometrical figure is right circular cylinder
Radius of right circular cylinder changes from 10 cm to 10.05 cm.
Height of right circular cylinder remains constant.
Calculation :
Since
Therefore,
The change in volume is
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Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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