Volume of a bowl A bowl has a shape that can be generated

Chapter 6, Problem 56E

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Problem 56E

Volume of a bowl 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. Related rates 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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