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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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b) A bowl has a shape that can be generated by revolving the graph y =x² /2 between
y = 0 and y = 5 about y - axis.
i)
Find the volume of the bowl.
ii)
If we fill the bowl with water at a constant rate of 3 cubic unit per second, how fast
will the water level in the bowl be rising when the water is 4 unit deep?
Transcribed Image Text:b) A bowl has a shape that can be generated by revolving the graph y =x² /2 between y = 0 and y = 5 about y - axis. i) Find the volume of the bowl. ii) If we fill the bowl with water at a constant rate of 3 cubic unit per second, how fast will the water level in the bowl be rising when the water is 4 unit deep?
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