Solution Found!
Answer: Volume The radius r and height h of a right
Chapter 3, Problem 14E(choose chapter or problem)
Volume The radius r and height h of a right circular cone are related to the cone’s volume V by the equation V = (1/3)?r2h. a. How is dV/dt related to dh/dt if r is constant? b. How is dV/dt related to dr/dt if h is constant? c. How is dV/dt related to dr/dt and dh/dt if neither r nor h is constant?
Questions & Answers
QUESTION:
Volume The radius r and height h of a right circular cone are related to the cone’s volume V by the equation V = (1/3)?r2h. a. How is dV/dt related to dh/dt if r is constant? b. How is dV/dt related to dr/dt if h is constant? c. How is dV/dt related to dr/dt and dh/dt if neither r nor h is constant?
ANSWER:Solution Step 1 of 4 In this problem, the relation between the volume, radius and height of the cone is given, we have to deduce the given conditions using the formula for volume of the cone. Here volume of the circular cone is given as V = r h 1 2 3