Find the volume of water in the bowl.
Answer to Problem 50E
The volume of the water in the bowl is
Explanation of Solution
Given information: Given curves
Calculation:
The region is shown in the picture:
From the washer method, outer diameter is given by:
The washer method, inner diameter is given by:
To formula the area is given by:
Now, to integrate from
When
The area of disk above
Finally, integral of the volume given by:
Thus, the volume of the water in the bowl is
Chapter 6 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