Solved: PROBLEM 34E(a) Suppose that a glass tank has the
Chapter 3, Problem 34E(choose chapter or problem)
(a) Suppose that a glass tank has the shape of a cone with circular cross section as shown in Figure 3.2.10. 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 1/34 in., \(g=32 \mathrm{ft} / \mathrm{s}^{2}), and c 0.6. Use the differential equation in Problem 12 to 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.
Text Transcription:
g = 32 ft/s^2
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