The reason behind the rate of change of volume with respect to radius is area.
Explanation of Solution
Given information:
The radius of the sphere is
Concept used:
The formula used is
Calculation:
The sphere has been divided into small strips.
The area of each strip will be equal to the area of the sphere.
That is
The width of each strip is change in radius.
That is
The volume of a sphere is given by the formula
The change in volume be
So the change in volume is
Equate both the equations
Conclusion: Therefore, the change in volume with respect to radius is the area.
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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