Water is flowing through a cylindrical pipe, of internal diameter 2cm, into a cylindrical tank of base radius 40cm, at the rate of 0.4m/s. Determine the rise in level of water in the tank in half an hour.

Given, internal diameter of cylindrical pipe = 2 cm

So, radius of cylindrical pipe (r) = 2/ 2 = 1 cm

And,

Radius of cylindrical tank (R) = 40 cm

Let level of water rise to the height of h cm.

Thus,

Now,

Volume of cylindrical tank = Volume of water flown out in half an hour

Hence, level of water rise to the height of 45 cm.

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