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0346da96cad3753fd62a72c0691637cd - The cross-section of the...

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Unformatted text preview: The cross-section of the base corresponding to the coordinate y has length x = 2 − y. The corresponding equilateral triangle with side s has area √ √ 3 3 2 = (2 − y ) . Therefore, A(y ) = s2 4 4 √ 3 2 2 2 V = 0 A(y ) dy = 0 (2 − y ) dy 4 √ √ 32 3 2 1 2 4y − 2y 2 + 3 y 3 0 (4 − 4y + y ) dy = = 0 4 4 √ √ 38 =2 3 = 3 4 3 a=2 ...
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