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In a triangle ABC, a ge b ge c. If (a^...

In a triangle `ABC, a ge b ge c.` If
`(a^(3)+b^(3)+c^(3))/(sin ^(3)A +sin ^(3) B+sin ^(3)C)=8,` then the maximum value of a `sin^(3) A+sin ^(3) B+ sin^(3)C`

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