Question
Download Solution PDFThree solid metallic spheres of radii 1 cm, 6 cm and 8 cm, respectively, are melted and recast into a single solid sphere. The radius of the new sphere so formed is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Three solid metallic spheres of radii 1 cm, 6 cm, and 8 cm, respectively, are melted and recast into a single solid sphere.
Concept used:
Volume of sphere is = 4/3πr3
Calculation :
Let the radius be R
As per the question,
4/3 π (13 + 63 + 83 ) = 4/3πR3
R3 = 729
R3 = 93
R = 9 cm
∴ The correct option is 1
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