A pipe of radius 3.5 m and water is flowing through it at the rate of 2 km per hour. There is a 

cuboidal tank of base 14 m x 11 m. Find the height of the tank filled with water through the 

pipe in 6 minutes

Asked by adityakumar27749 | 15th Mar, 2021, 12:02: PM

Expert Answer:

speed of water=2km/h
2 cross times 5 over 18
T o t a l space w a t e r space f l o w i n g space t h r o u g h space t h e space p i p e space p e r space s e c o n d
pi r squared cross times 2 cross times 5 over 18
22 over 7 cross times 7 over 2 cross times 7 over 2 cross times 2 cross times 5 over 18
T o t a l space v o l u m e space o f space w a t e r space c o m i n g space o u t space o f space t h e space p i p e space i n space 6 space m i n u t e s
22 over 7 cross times 7 over 2 cross times 7 over 2 cross times 2 cross times 5 over 18 cross times 6 cross times 60
V o l u m e space o f space tan k space f i l l e d space w i t h space w a t e r space equals l cross times b cross times h
22 over 7 cross times 7 over 2 cross times 7 over 2 cross times 2 cross times 5 over 18 cross times 6 cross times 60 equals 14 cross times 11 cross times h
h equals 50 m

Answered by Utkarsh Lokhande | 15th Mar, 2021, 12:29: PM

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