a.
To calculate: The rate of change of the area of the cone base.
a.
Answer to Problem 71RE
The rate of change of the area of the cone base
Explanation of Solution
Given information: The volume V of a cone is increasing at the rate of
Formula used: Area of the base of a cone
Calculation:
radius is increasing at
Area of the base of a cone
Derivative of the area with respect to time
b.
To calculate: The rate of change of the cone height h.
b.
Answer to Problem 71RE
The rate of change of the cone height h
Explanation of Solution
Given information: The volume V of a cone is increasing at the rate of
Formula used: Volume of a cone
Calculation:
The volume V of a cone is
And the radius of the cone is
Volume of a cone
The volume V of a cone is increasing at the rate of
Volume of a cone
Derivative of the volume with respect to time
c.
To calculate: The rate of change of the area of cone base with respect to the cone height h.
c.
Answer to Problem 71RE
The rate of change of the area of cone base with respect to the cone height h
Explanation of Solution
Given information: The rate of change of the area of the cone base
And The rate of change of the cone height h
Calculation:
The rate of change of the area of the cone base
And The rate of change of the cone height h
The rate of change of the area of cone base with respect to the cone height h
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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