A clepsydra, or water clock, is a glass container with a small hole in the bottom through

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A clepsydra, or water clock, is a glass container with a small hole in the bottom through which water can flow. The €œclock€ is calibrated for measuring time by placing markings on the container corresponding to water levels at equally spaced times. Let x = f(y) be continuous on the interval [0, b] and assume that the container is formed by rotating the graph of about the -axis. Let B denote the volume of water and the height of the water level at time t.
(a) Determine V as a function of h.
(b) Show that


-x= f(y)
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