Concept explainers
To find: The rate of change of volume of sphere with respect to radius when
Answer to Problem 30E
The rate of change of volume of sphere with respect to radius when
Explanation of Solution
Given information:
The radius of the sphere is
Calculation:
The formula for the volume of the sphere is equal to
The formula for the instantaneous rate of change of volume with respect to radius at
The formula for the instantaneous rate of change of
Substitute
Substitute
Substitute
Further simplify.
Therefore, the rate of change of volume of sphere with respect to radius when
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic
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