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15 Nov 2021
Problem 29
Page 307
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
15 Nov 2021
Given information
A cone with height is inscribed in a larger cone with height so that its vertex is at the center of the base of the larger cone.
Step-by-step explanation
Step 1.
Let the radius of the bigger cone is and the radius of the smaller cone is .
From Figure, consider and
and are similar triangle.
By AAA Theorem,
The volume of the inner cone is
Substitute the value of in