15 Nov 2021
Problem 28
Page 307
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
15 Nov 2021
Given information
A cone-shaped paper drinking cup is to be made to hold of water.
Step-by-step explanation
Step 1.
Let the radius of the cone is and the height of the cone is .
The volume and surface area of a cone with a radius and height are given by,
And
By Pythagoras theorem,
Then,
Let,
Then,
Substitute the value of in