A tank in the form of a right-circular cylinder of radius 0.4 m and height 3 m is standing on end. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of the water leaving the tank per second to cA√2gh. If the tank is initially full of water, and water leaks from a circular hole of radius 17.5 mm 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, that is let c = 1. (Assume the acceleration due to gravity g is 9.8 m/s2. Round your numeric value to five decimal places.) 8.47392-10-3√h dh dt = eBook X

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A tank in the form of a right-circular cylinder of radius 0.4 m and height 3 m is standing on end. When water leaks through a hole, friction and contraction of the stream near
the hole reduce the volume of the water leaving the tank per second to CA,√2gh. If the tank is initially full of water, and water leaks from a circular hole of radius 17.5 mm
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, that is let c = 1. (Assume the
acceleration due to gravity g is 9.8 m/s². Round your numeric value to five decimal places.)
dh
dt
=
eBook
-3
8.47392 10 3 √h
Transcribed Image Text:A tank in the form of a right-circular cylinder of radius 0.4 m and height 3 m is standing on end. When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of the water leaving the tank per second to CA,√2gh. If the tank is initially full of water, and water leaks from a circular hole of radius 17.5 mm 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, that is let c = 1. (Assume the acceleration due to gravity g is 9.8 m/s². Round your numeric value to five decimal places.) dh dt = eBook -3 8.47392 10 3 √h
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