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An ice cream cone is filled with melted vanilla ice cream of density 1.21g/cm3 The cone is 10.1cm long and has a diameter of 6.1 cm at the larger top end.

(a) Find the gauge pressure at the bottom of the cone. Now a small hole of diameter 1.02 mm is produced at the narrow bottom end and the ice cream starts to exit the bottom hole. Ignoring the viscosity of the melted ice cream, find the amount of time it takes the vanilla ice cream to run out through the narrow bottom hole completely. You can assume the velocity of the vanilla ice cream to be zero at the larger top end.

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