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keisanHigh-precision calculations for everyday life and work

Calculate the height that reduces the volume of a frustum of a cone by half

Author: tonagaiExecutions: 1432

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This formula is used to calculate the height at which a truncated cone can be divided into two equal parts—similar to the problem of “Where should you cut a carrot to halve its volume?”
If we consider the carrot to be a cone (R1 = 0), we can conclude that it should be cut at the point where the thicker end is divided in a 1:4 ratio.
Top radius R1
Radius R2 at the bottom
Height h of the original truncated cone
Height after division by two ÷ original height t ÷ h 
Height t of the divided section 

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