Drainage of a Hemispherical Tank
Drainage of a Hemispherical Tank
A full hemispherical tank of radius drains under the influence of gravity from a circular hole of radius at the bottom of the tank. The velocity of fluid flowing from the hole is (Torricelli's law), where is the gravitational acceleration and is the height of water at time , which is shown in the tank and plotted below.
R
r
2gy
g
y
t