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Trigonometry

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a man has three golden spheres with radius 1mm,2mm,3mm,respectively. He plans to melt it and make a larger sphere. What will be the radius of the larger sphere?

  • Trigonometry - ,

    volume of 3 spheres
    = (4/3)π( 1^3 + 2^3 + 3^3)
    =(4/3)π(36)
    = 48π

    then for new sphere
    (4/3)π r^3 = 48π
    r^3 = 36
    r = (36)^(1/3) = appr. 3.3

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