Water Tank Filling

Classical Mechanics Level 3

In the figure bellow a pipe is filling a cylindrical tank Length =6 m, Diameter =2 m at a constant rate $300 L/ min$ . What is the smallest high (in meters) of water in the tank when the increasing rate of the water level is $5 cm/min$ ? Give your answer to two decimal places ..

The answer is 0.13.

1 solution

Ahmed Almubarak
Oct 26, 2017

level increasing rate $*$ area of the water surface = filling rate

$0.05 * A = 0.3$

$A = 6$

$A= X * 6$

$X = 1$

$r^2=(r-h)^2+(0.5 x)^2$

$1^2= (1-h)^2 + (0.5)^2$

$h=\boxed{0.13}$

Water Tank Filling

The answer is 0.13.

1 solution

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