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Volume The radius r and height h of a right circular
Chapter 3, Problem 13E(choose chapter or problem)
Problem 13E
Volume The radius r and height h of a right circular cylinder are related to the cylinder’s volume V by the formula
a. How is dV/dt related to dh/dt if r is constant?
b. How is dV/dt related to dh/dt if h is constant?
c. How is dV/dt related to dh/dt and if neither r nor h is constant?
Questions & Answers
QUESTION:
Problem 13E
Volume The radius r and height h of a right circular cylinder are related to the cylinder’s volume V by the formula
a. How is dV/dt related to dh/dt if r is constant?
b. How is dV/dt related to dh/dt if h is constant?
c. How is dV/dt related to dh/dt and if neither r nor h is constant?
ANSWER:
Solution
Step 1 of 1
Here volume of the cylinder is given as
(a) Now if r is constant it means only height is changing
So ,