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Water flows through a cylindrical pipe of internaldiameter 7 cm at 36 km/hr. Calculate time in minutesit would take to fill a cylindrical tank, the radius ofwhose base is 35 cm and height is Im. (ICSE 1993)Hint. See Solved Ex. 17

Answer»

Speed of water = 36km/hr = 36000/60 m/min. = 600 m/min.

Converting into metres, Diameter of base of tank = 2 x .35 = 0.7 m.

Volume of tank= Pi/4 x d square x h = Pi/4 x 0.7 x 0.7 x 1 cubic.m.

Let Length of pipe for equaling volume of cylinder be h

Pi / 4 x 0.07 x 0.07 x h = Pi/4 x 0.7 x 0.7

Hence h = 100 m

Time taken to cover 100 m of pipe = 100/600 min. = 1/6 min.

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