12 Nov 2021
Problem 22
Page 306
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
12 Nov 2021
Given information
A cylindrical can without a top is made to contain of liquid.
Step-by-step explanation
Step 1.
The area of the triangle is given by . We can write in terms of and .
Now, the area can be written as
Geometrically, is defined only when is in . At the end point the triangle degenerates into a line.
Differentiating we get
Setting to zero gives