a housing society has a common water tank for 500 houses.Water is pumped into the tank through a pipe which has internal diameter 7cm and flow of water in the pipe cant be 70cm/s more.How many litres of water is pumped daily in the tank if the pump can operate for 2hours daily

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Solution

$G i v e n, d i a m e t r e o f p i p e = 7 c m S o, r a d i u s o f p i p e = \frac{7}{2} c m = 3.5 c m A n d, r a t e o f f l o w o f w a t e r i n t h e p i p e = 70 c m / s e c T h u s V o l u m e o f w a t e r f l o w i n g o u t p e r s e c o n d = V o l u m e o f p i p e = A r e a o f c r o s s - s e c t i o n \times r a t e o f f l o w o f w a t e r = π r^{2} \times r a t e o f f l o w o f w a t e r = \frac{22}{7} \times {(3.5)}^{2} \times 70 = 2695 c m^{3} N o w, V o l u m e o f w a t e r f l o w i n 2 h r s = 2695 \times 2 \times 3600 = 19404000 c m^{3} = \frac{19404000}{1000} l t = 19404 l t S i n c e t h e r e i s c o m m o n w a t e r \tan k f o r 500 h o u s e s T h e r e f o r e A m o u n t o f w a t e r, w h i c h i s p u m p e d d a i l y i n t h e \tan k = 500 \times 19404 = 9702000 l t$

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