Concept explainers
To write a differential formula that estimates the change in volume of a sphere and to use it to estimate the change in volume.
Answer to Problem 31E
The differential equation that estimates the change in volume of a sphere is
The change in volume of the sphere is
Explanation of Solution
Given information:
The geometrical figure is sphere,
Radius changes from 10 cm to 10.05 cm.
Calculation :
Since
Therefore,
The change in volume is
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
Precalculus
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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