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In a factory there are two identical solid blocks of iron. When the first block is melted and recast into spheres of equal radii"r",then 14 cc of Iron was left,but when the second Block was melted and recast into Sphere each of Equal radii."2r",then 36 cc of iron was left.The Volumes of the Solid Blocks and all the spheres are in integers.What is the volume (in cc)of each of the larger Spheres of radius"2r"?

In a factory there are two identical solid blocks of iron. When the first block is melted and recast into spheres of equal radii"r",then 14 cc of Iron was left,but when the second Block was melted and recast into Sphere each of Equal radii."2r",then 36 cc of iron was left.The Volumes of the Solid Blocks and all the spheres are in integers.What is the volume (in cc)of each of the larger Spheres of radius"2r"?

Grade:11

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
6 years ago
Hii you need to frame equation using the variables as the numbers of spheres.
USe trial and error by considering that the numbers of 2r will not be greater than r ones.

You will get the answer.

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