(a)
The volume of water in the bowl.
(a)
Answer to Problem 81E
The volume of water in the bowl is
Explanation of Solution
Given:
Radius of a hemispherical bowl is a and contains water to the depth h.
Calculation:
The equation for a hemispherical bowl can be written as:
As, the radius of bowl is a and depth is h then, using spherical
Hence, volume of water in hemisphere is:
Conclusion:
(b)
The rate at which water level rising.
(b)
Answer to Problem 81E
The rate at which water level rising is
Explanation of Solution
Given:
The radius of hemispherical bowl is
Calculation:
Differentiate both sides with respect to h.
Chapter 7 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning