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Find the time required for a cylindrical...

Find the time required for a cylindrical tank of radius `r` and height `H` to empty through a round hole of area `a` at the bottom. The flow through the hole is according to the law `v(t)=ksqrt(2gh(t))` , where `v(t)` and `h(t)` , are respectively, the velocity of flow through the hole and the height of the water level above the hole at time `t ,` and `g` is the acceleration due to gravity.

Text Solution

Verified by Experts

The correct Answer is:
`t=(pi^(2))/(mua)sqrt((2H)/(8))`
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