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Related RatesRight circular cone The lateral surface area
Chapter 3, Problem 142PE(choose chapter or problem)
Problem 142PE
Related Rates
Right circular cone The lateral surface area S of a right circular cone is related to the base radius r and height h by the equation
a. How is dS/dt related to dr/dt if h is constant?
b. How is dS/dt related to dr/dt if r is constant?
c. How is dS/dt related to dr/dt and dh/dt if neither r nor h is constant?
Questions & Answers
QUESTION:
Problem 142PE
Related Rates
Right circular cone The lateral surface area S of a right circular cone is related to the base radius r and height h by the equation
a. How is dS/dt related to dr/dt if h is constant?
b. How is dS/dt related to dr/dt if r is constant?
c. How is dS/dt related to dr/dt and dh/dt if neither r nor h is constant?
ANSWER:
Solution
Step 1 of 2:
In this problem we have given lateral surface area of right circular cone