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Part 1
A hemispherical bowl has top radius 9 ft and at time tequals0 is full of water. At​ 1:00 P.M. a circular hole of unknown radius r is​ opened, and at​ 1:30 P.M. the depth of the water in the tank is 5 ft. ​(a) Use​ Torricelli's law in the form StartFraction dV Over dt EndFraction equals negative left parenthesis 0.6 right parenthesis pi r squared StartRoot 2 gy EndRoot
to determine when the tank will be empty. ​(b) What is the radius of the bottom​ hole?