Arithmetic - If a sphere of diameter 3 cm is melted & formed into 3 spheres, the diameter of 1st is 1.5cm and

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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??

Total Answers and Comments: 3

Last Update: September 06, 2008

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November 24, 2005 10:32:25

ravindra garg

Member Since: October 2005 Contribution: 5

RE: If a sph...

volume= 4/3 (22/7) R cube

3 cube = 2 cube + 1.5 cube + x cube

x = 2.5

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June 28, 2006 04:03:28

ayush

RE: If a sph...

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

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September 06, 2008 07:42:29

vsg12umt

Member Since: September 2008 Contribution: 1

RE: 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??

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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