A cylindrical bucket 28 cm in diameter and 72 cm in height is full of water. The water is transferred into a rectangular tank 66 cm long and 28 cm wide. Find the height of the water level.
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the hight of the water level is 24cm
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Answer:
The height of water level in the rectangular tank is 24 cm .
Step-by-step explanation:
SOLUTION :
Given :
Height of cylindrical bucket, H = 72 cm
Length of a rectangular tank, l = 66 cm
Breadth of a rectangular tank, b = 28 cm
Diameter of a cylindrical bucket = 28 cm
Radius of the cylindrical bucket ,r = 28/2 = 14 cm
Let h be the height of a rectangular tank
Volume of rectangular tank = Volume of cylindrical bucket
l × b × h = πr²H
66 × 28 × h = 22/7 × 14² × 72
h = (22 × 14 × 14 × 72)/(66 × 28 × 7)
h = 24 cm
Hence, the height of water level in the rectangular tank is 24 cm .
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