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Differential equations-Cengel 2.98 A spherical tank of radius R is initially filled with water. Now a hole...

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Differential equations-Cengel 2.98
A spherical tank of radius R is initially filled with water. Now ahole of radius r is opened at the bottom of the tank and the wateris let out. According to Torricelli's law, water comes out of theopening at a velocity v = (2gy) ^ 1/2, where y is the height of thewater over the hole at a given moment, and g is the acceleration ofgravity. Obtain a relation for the depth of the water with functionof time t, and determine how long it takes to empty.
Explain your procedure

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