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Show that the water level falls at a constant rate

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Reference no: EM131606937

Question: A bowl has the shape of the graph of y = x4 between the points (1, 1) and (-1, 1) rotated about the y-axis. When the bowl contains water to a depth of h units, it flows out through a hole in the bottom at a rate (volume/time) proportional to √h, with constant of proportionality.

(a) Show that the water level falls at a constant rate.

(b) Find how long it takes to empty the bowl if it is originally full to the brim.

Reference no: EM131606937

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