A conical tank of radius R and height H, pointed end down, is full of water....
A conical tank of radius R and height H, pointed end down, is full of water. A small hole of radius r is opened at the bottom of the tank, with r, much much less than, R so that the tank drains slowly. Find an expression for the time T it takes to drain the tank completely.
Hint 1: use Bernoulli’s equation to relate the flow speed from the hole to the height of the water in the cone.
Hint 2: start with a (mathematical) statement about the volume flow rate at the hole of radius ‘r’.
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