A cylindrical open tankneeds cleaning. The tank is filled with water to aheight h0=1.00 meter, so you decide to empty it by letting thewater flow steadily from an opening at the side of the tank,located near the bottom. The cross-sectional area of the tankis A1=0.785 square meters, while that of the openingis A2=0.002 square meters.
How much time does it take to empty half the tank? (Note: Auseful antiderivative is .)
Express your answer numerically inseconds. Take the free-fall acceleration due to gravity to be meters per second per second.