1.

A steel ball is melted to make 8 new identical balls. The radius of each new ball is how manytimes the radius of the original ball?

Answer»

Let the radius of the spherical steel ball be 'X'Then the volume of the spherical steel ball=4/3πr³=4/3π(X)³Let the radius of the small spherical balls be 'x'Then, Volume=4/3π(x)³According to question:-4/3π(X)³=8[4/3πx³]4/3(X)³=32/3x³(X)³=8x³X=2xTherefore ratio- 1:2

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