WATER IS FLOWING AT THE RATE OF 5 KM/hr THROUGH A PIPE OF DIAMETER 14 cm INTO A RECTANGULAR TANK WHICH IS 50 m LONG AND 40 m WIDE. DETERMINE THE TIME IN WHICH THE LEVEL OF WATER IN THE TANK WILL RISE BY 7 cm.

Asked by  | 6th Feb, 2014, 12:31: PM

Expert Answer:

begin mathsize 16px style Diameter space of space the space pipe space equals space 14 space cm
Radius space of space the space pipe space equals space 7 space cm
Water space flowed space in space the space pipe space in space 1 space hr space equals space πr squared straight h
equals 22 over 7 cross times 7 over 100 cross times space 7 over 100 space
equals space 5000 space straight m cubed
Volume space of space water space in space the space tank
equals fraction numerator 50 cross times 4 cross times 7 over denominator 100 end fraction
equals 154 space straight m cubed
Hence comma space required space time space taken space for space the space rise space in space the space level space of
water space in space the space tabk space equals space 154 over 77 equals 2 space hrs end style

Answered by  | 8th Dec, 2017, 05:07: PM