from a cubical reservoir ful of water 64 equal buckets of water is taken out .the reservoir is till 1/3 full.if the length of the side of the reservoir be 1.2m ,find howmany litres of water each bucket contain?
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length of side of cubical reservoir is 1.2m.
hence volume=12^3/1000 m^3. 1/3 of the tank is still filled, which means that the 64 buckets managed to empty 2/3rd of the tank.
therefore volume emptied by 64 buckets = 2/3*12*12*12/1000=8*12*12/1000 m^3.
hence volume of each bucket = 8*12*12/64000 = 16*9/8000=18/1000 m^3=18 litre.
hence volume=12^3/1000 m^3. 1/3 of the tank is still filled, which means that the 64 buckets managed to empty 2/3rd of the tank.
therefore volume emptied by 64 buckets = 2/3*12*12*12/1000=8*12*12/1000 m^3.
hence volume of each bucket = 8*12*12/64000 = 16*9/8000=18/1000 m^3=18 litre.
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The volume of water contained in the bucket is 18 litre.
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