If a sphere of diameter 3 cm is melted & formed into 3 spheres, the diameter of 1st is 1.5cm and that of second is 2.0 cm, what is the diameter of the third??

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ayush

  • Jun 28th, 2006
 

You've taken the diameter instead of the radius. The correct ans is 1.25

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vsg12umt

  • Sep 6th, 2008
 

here volume of Big sphere and volume of all the three small Sphere will be same

  let diameter of 3rd small cube be x cm.
  so,
      4/3*pi*(3/2)cube=4/3*pi*(1.5/2)cube+4/3*pi*(2/2)cube+4/3*pi*(x/2)cube
after calculation
  x=cube root of(15.625)

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