Q26 of 55 Page 1

Water is flowing at the rate of 10 km / hour through a pipe of diameter 16 cm into a cuboidal tank of dimensions 22 m × 20 m × 16 m. How long will it take to fill the empty tank? [Use π = 22/7].

Given: Diameter of the cylindrical pipe = d = 16 cm


Length of the pipe = l1 = 10 km = 10000 m


∴ Radius of the pipe = r = d/2 = 16/2 = 8 cm = (8/100) m



Length of cuboidal tank = l2 = 22 m


Breadth of cuboidal tank = b = 20 m


Height of cuboidal tank = h= 16 m


Volume of cuboidal tank = l2 × b × h = 22 × 20 × 16 = 7040 m3


Volume of cylindrical pipe = πr2l1 = m3


Time required to fill the empty tank =


= = 35 hrs.


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