A conical$-$type draft tube attached to a Francis turbine has an inlet diameter of $3$ m and its area at outlet is $20$ m$2.$ The velocity of water at inlet, which is $5$ m above tail race level, is $5$ m$/$s$.$ Assuming the loss in draft tube equals to $50\%$ of velocity head at outlet, find $($i$)$ the pressure head at the top of the draft tube, $($ii$)$ the total head at the top of the draft tube taking tail race level as datum, and $($iii$)$ power lost in draft tube