A bowl has a shape that can be generated by revolving the graph of y = x2/2 between y = 0 and y = 5 about the y-axis. a. Find the volume of the bowl. b.If we fill the bowl with water at a constant rate of 3 cubic units per second, how fast will the water level in the bowl be rising when the water is 4 units deep?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
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A bowl has a shape that can be generated by revolving the graph of y = x2/2 between y = 0 and y = 5 about the y-axis.

a. Find the volume of the bowl.

b.If we fill the bowl with water at a constant rate of 3 cubic units per second, how fast will the water level in the bowl be rising when the water is 4 units deep?

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