Question
Wed March 11, 2015 By: Kiran Kumar Parasuramuni

rain water which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. what will be the height of water in the cylindrical vessel if the rainfall is 1 cm. give your answer to the nearest integer. why rain water harvesting is important?

Expert Reply
Vimala Ramamurthy
Thu March 12, 2015
D i m e n s i o n s space o f space t h e space r e c tan g u l a r space f i e l d space a r e comma space 6 space m space a n d space 4 space m L e n g t h equals space 6 space m B r e a d t h space equals 4 space m R a i n f a l l space i s space 1 space c m equals 1 over 100 space m rightwards double arrow H e i g h t space equals 1 over 100 space m V o l u m e space o f space t h e space w a t e r space i n space c u b o i d a l space s h a p e d space r e c tan g u l a r space f i e l d a f t e r space t h e space r a i n f a l l space o f space 1 over 100 space m space equals 6 cross times 4 cross times space 1 over 100 equals 24 over 100 equals 6 over 25 space m cubed V o l u m e space o f space t h e space c y l i n d r i c a l space v e s s e l space w i t h space r a d i u s space 20 space c m equals 22 over 7 cross times 20 over 100 cross times 20 over 100 cross times h space m cubed S i n c e space t h e space v o l u m e s space a r e space e q u a l comma 22 over 7 cross times 20 over 100 cross times 20 over 100 cross times h equals 6 over 25 rightwards double arrow 22 over 7 cross times 1 fifth cross times 1 fifth cross times h equals 6 over 25 rightwards double arrow h equals 6 over 25 cross times 5 over 1 cross times 5 over 1 cross times 7 over 22 rightwards double arrow h equals 42 over 22 space m equals 1.90 space m almost equal to 2 space m
Conservation of natural resources are increasing day by day.
And to increase the ground water level, rain water harvesting should be done.
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