Tofind:thevolume of the largest circular cone that can be inscribed in a sphere.
Answer to Problem 42RE
TheVolume of the largest circular cone that can be inscribed in a sphere is
Explanation of Solution
Given:
Radius of sphere is r.
Concept used:
Volume of circular cone:
If
If
Calculation:
Let
Height of the cone=
For max or min
When
Max
Hence the Volume of the largest circular cone that can be inscribed in a sphere is
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning