A sphere of radius 4 cm is melted and recast into smaller spheres of radii 2 cm each. How many such spheres can be made?
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 8
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Concept |
Understanding |
Application |
Fair calculation |
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Volume of sphere = (4/3)πr3 |
Given Radius of bigger sphere (R) = 4 cm Radius of smaller sphere (r) = 2 cm Let ‘n’ small spheres made by the bigger sphere. |
According to the question: (4/3) π r3 × n =( 4/3) π R3 ⇒(4/3) π × 23 × n = (4/3) π × 43 ⇒ 8n = 64 ⇒ n = 8 |
64/8 = 8 |