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UPSC CDS 2 2021 Math Paper

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Directions (Q.Nos. 46-48) Consider the following for the next three questions that follow.
A solid consisting of a right circular cone of radius x and height 2x standing on a hemisphere of radius x (take π=‌
22
7
 )
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Question : 48 of 100
 
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The solid is placed upright in a right circular cylinder full of water such that it touches the bottom. If the internal radius of cylinder is x and height is 3x, what is the approximate volume of water left in the cylinder?
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