A sphere of radius 6 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?
A sphere of radius 6 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made? Correct Answer 27
As we know,
Volume of sphere = 4/3 π r3
Radius of bigger sphere R = 6 cm
and radius of smaller sphere = 2 cm
Suppose x small spheres made by the bigger sphere.
According to the question
⇒ 4/3 π r3 × x = 4/3 π R3
⇒ 4/3 × π × 23 × x = 4/3 × π × 63
⇒ x = 27
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Feb 20, 2025