Question
Mon March 09, 2015 By: Khushee Agnihotri

A rectangular water reservoir is 7.2 m by 2.5 m at the base. Water flows into it throught a pipe whose cross section is 5 cm x 9 cm at the rate of 20 m/second. FInd the height to which the water will rise in the reservoir in 40 min?

Expert Reply
Prasenjit Paul
Tue March 10, 2015
L e t space t h e space h e i g h t space t o space w h i c h space w a t e r space w i l l space r i s e space b e space apostrophe h apostrophe V o l u m e space o f space w a t e r space f l o w i n g space p e r space s e c o n d space equals space 0.05 cross times 0.09 cross times 20 V o l u m e space o f space w a t e r space f l o w i n g space i n space 40 space m i n u t e s space equals space 0.05 cross times 0.09 cross times 20 cross times 40 cross times 60 V o l u m e space o f space t h e space w a t e r space i n space t h e space tan k space equals space 7.2 cross times 2.5 cross times h  0.05 cross times 0.09 cross times 20 cross times 40 cross times 60 space equals space 7.2 cross times 2.5 cross times h rightwards double arrow h space equals space fraction numerator 0.05 cross times 0.09 cross times 20 cross times 40 cross times 60 over denominator 7.2 cross times 2.5 end fraction therefore h space equals space 12 space m H e i g h t space o f space w a t e r space l e v e l space i n space t h e space tan k space equals space 12 space m
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