Volume The radius r and height h of a right circular

Chapter 3, Problem 13E

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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?

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 ,

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