A tank in the form of a right-circular cylinder of radius 2 feet and height 10 feet is standing on end. If the tank is initially full of water, and water leaks from a circular hole of radius inch at its bottom, determine a differential equation for the height h of the water at time t. Ignore friction and contraction of water at the hole. (Assume the acceleration due to gravity g is 32.) dh %3D dt

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A tank in the form of a right-circular cylinder of radius 2 feet and height 10 feet is standing on end. If the tank is initially full of water, and water leaks from a circular hole
radius
inch at its bottom, determine
a differential equation for the height h of the water at time t. Ignore friction and contraction of water at the hole. (Assume the acceleration due to gravity g is 32.)
dh
dt
Transcribed Image Text:A tank in the form of a right-circular cylinder of radius 2 feet and height 10 feet is standing on end. If the tank is initially full of water, and water leaks from a circular hole radius inch at its bottom, determine a differential equation for the height h of the water at time t. Ignore friction and contraction of water at the hole. (Assume the acceleration due to gravity g is 32.) dh dt
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