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A cylindrical tank 1 m in radius rests o...

A cylindrical tank `1 m` in radius rests on a platform `5 m` high. Initially the tank is filled with water to a height of `5 m`. A plug whose area is `10 ^-4 m^2`, is removed from an orifice on the side of the tank at the bottom. Calculate the following :
(a) Initial speed with which the water flows from the orifice.
(b) Initial speed with which the water strikes the ground,
( c) Time taken to empty the tank to half its original value.

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