A tank in the shape of a cuboid measures 80 cm by 40 cm by 30 cm. The tank is completely full with water.
Water flows out of the tank through a cylindrical pipe of radius 5 cm at a constant rate of 4 cm/s.
(a)Calculate the time, in seconds to the nearest second, taken to empty half of the water out of the tank.
Water flows out of the tank through a cylindrical pipe of radius 5 cm at a constant rate of 4 cm/s.
(a)Calculate the time, in seconds to the nearest second, taken to empty half of the water out of the tank.
-
volume = 96000cm^3
dv/dt = 4 * pi * 5^2 = 100pi cm^3/s
we want 96000/2 = 100pi*t
ie t = 153 seconds
dv/dt = 4 * pi * 5^2 = 100pi cm^3/s
we want 96000/2 = 100pi*t
ie t = 153 seconds