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A cubical tank with side 50 cm is full of water. If 61 litres of water is taken out of it, the level of water in the tank will drop by:
Question

A cubical tank with side 50 cm is full of water. If 61 litres of water is taken out of it, the level of water in the tank will drop by:

A.

25 cm

B.

25.6 cm

C.

30 cm

D.

24.4 cm

Correct option is D

Given:Side of cube=50 cmWater taken out=61 litresConcept Used:Volume and water levelFormula Used:Volume=Base area×heightSolution:61 litres=61000 cm3Base area=50×50=2500 cm261000=2500×hh=610002500h=24.4Final Answer:24.4 cm\textbf{Given:} \\\text{Side of cube} = 50 \text{ cm} \\\text{Water taken out} = 61 \text{ litres} \\\textbf{Concept Used:} \\\text{Volume and water level} \\\textbf{Formula Used:} \\\text{Volume} = \text{Base area} \times \text{height} \\\textbf{Solution:} \\61 \text{ litres} = 61000 \text{ cm}^3 \\\text{Base area} = 50 \times 50 = 2500 \text{ cm}^2 \\61000 = 2500 \times h \\h = \frac{61000}{2500} \\h = 24.4 \\\textbf{Final Answer:} \\24.4 \text{ cm}​​

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