Concept explainers
To calculate the percentage change in the volume of the coin.
Answer to Problem 47E
Volume will increase by 0.2%.
Explanation of Solution
Given information:
Change in radius is 0.1%.
Calculation :
The relation of radius and volume is represented by
The differentials of r and V is related as
The relative change in V is
The relative change in V is 2 times the relative change in r, so 0.1% increase in radius will result in 0.2% increase in volume.
Chapter 5 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Calculus and Its Applications (11th Edition)
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