Mathematics
A cylindrical bucket holds 44.372 litre of water. The water is emptied into a rectangular tank 66 cm long and 28 cm wide. Find the height of the water level in the tank.
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Answer
Volume of cylindrical bucket = 44.372 litres
1 liter = 0.001 m3
Volume of bucket in cubic meters = 44.372 x 0.001 m3 = 0.044372 m3
Dimensions of the rectangular tank:
Length = 66 cm = 0.66 m
Breadth = 28 cm = 0.28 m
Volume of the tank = l x b x h
⇒ 0.044372 = 0.66 x 0.28 x h
⇒ 0.044372 = 0.1848 x h
⇒ h =
⇒ h = 0.24 m
⇒ h ≈ 24 cm
Hence, the water level in the tank rises by 24 cm.
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