Solved: Consider the initially full hemispherical water tank of Example 8, except that

Chapter 3, Problem 63

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Consider the initially full hemispherical water tank of Example 8, except that the radius r of its circular bottom hole is now unknown. At 1 P.M. the bottom hole is opened and at 1:30 P.M. the depth of water in the tank is2 ft. (a) Use Torricellis law in the form dV=dt D!.0:6/!r2p2gy (taking constriction into account) to determine when the tank will be empty. (b) What is the radius of the bottom hole?

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