A cylindrical tank of radius R and length L lying horizontally as in Figure 13 is filled
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A cylindrical tank of radius R and length L lying horizontally as in Figure 13 is filled with oil to height h.
(a) Show that the volume V(h) of oil in the tank as a function of height h is
(b) Show that
(c) Suppose that R = 2 m and L = 12 m, and that the tank is filled at a constant rate of 1.5 m3/min. How fast is the height h increasing when h = 3 m?
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