1
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Question

# A rectangular container with dimensions 4 inches by 9 inches by 10 inches is fully filled with water. Now, if we empty this rectangular container's content in a cylindrical vessel of diameter 6 inches without any spillage, then the height of water attained in cylindrical vessel will be

A
40π
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B
60π
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C
24
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D
30
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Solution

## The correct option is A 40πSince there is no water spillage, the volume of water in both the vessels remains constant.Thus, volume of water in rectangular container = length × breadth × height =4×9×10=360 cubic inchThe cylindrical volume =πr2h∴360=π×9×h∴h=40π inch

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