## Question

A cylindrical tank 1 m in radius rests on a platform 5 m high. Initially the tank is filled with water upto 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 time taken to empty the tank to half its original value.

### Solution

2.5 *h*

When the height of water level above the hole is *y*, velocity of flow will be and so rate of flow

which on integration gives

#### SIMILAR QUESTIONS

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