A35 cm high cylindrical vessel having a base radius of 100 cm is full of juice. If the juice is poured into an empty rectangular vessel of length 20 cm and breadth 11 cm and filled it completely, then find the height of the rectangular vessel.
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Answer:
height = 50 meters
Step-by-step explanation:
Total volume of juice is same as volume of cylindrical vessel
V = pi * r² * h
V = pi * 100 * 100 * 35
V = 350000 * pi,
This volume is poured into the rectangle vessel
V = l * b * h
350000 * pi = 20 * 11 * h
where h is the height of rectangle
h = 350000 * pi /( 20 * 11 )
taking value of pi = 22/7
h = 5000cm
Hence the height of the rectangular vessel is 5000 CM or 50m long.
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