A sphere is made of an alloy of Metal A (density 8 g//cm^(3)) and Metal B (density 6g//cm^(3)). The sphere floats in mercury (density 13.6 g//cm^(3)) with half its volume submerged. The percentage of the total volume of the sphere that is occupied by metal A is ___________ .

A sphere is made of an alloy of Metal A (density 8 g//cm^(3)) and Meta

1.	A sphere is made of an alloy of Metal A (density 8 g//cm^(3)) and Metal B (density 6g//cm^(3)). The sphere floats in mercury (density 13.6 g//cm^(3)) with half its volume submerged. The percentage of the total volume of the sphere that is occupied by metal A is ___________ .
Answer» Solution :Let the fraction of Metal A be X Let the TOTAL VOLUME of the SPHERE be V Then,Weight = Buoyant force `IMPLIES[8x+6(1-x)]Vg=(1)/(2)(13.6)Vgimpliesx=0.4`

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A sphere is made of an alloy of Metal A (density 8 g//cm^(3)) and Metal B (density 6g//cm^(3)). The sphere floats in mercury (density 13.6 g//cm^(3)) with half its volume submerged. The percentage of the total volume of the sphere that is occupied by metal A is ___________ .

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