(a) Suppose that a glass tank has the shape of a cone with circular cross section as shown in the following figure. As in part (a) of Problem 33, assume that h(0) = 2 ft corresponds to water ­filled to the top of the tank, a hole in the bottom is circular with radius 1/32 in., g = 32 ft/s², and c = 0.6. Use the differential equationin Problem 12to fi­nd the height h(t) of the water.

(b) Can this water clock measure 12 time intervals of length equal to 1 hour? Explain using sound mathematics.

Data from problem 33(a)

(a) Suppose a tank is made of glass and has the shape of a right circular cylinder of radius 1 ft. Assume that h(0) = 2ft corresponds to water fi­lled to the top of the tank, a hole in the bottom is circular with radius 1/32 responds in., g = 32 ft/s², and c = 0.6. Use the differential equation in Problem 12 to fi­nd the height h(t) of the water.

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