Question : The radius of a solid sphere is 42 cm. It is melted to form identical small solid spheres whose radius is 7 cm. What is the number of small solid spheres obtained?
Option 1: 64
Option 2: 36
Option 3: 216
Option 4: 125
Correct Answer: 216
Solution :
Given: The radius of a solid sphere is 42 cm.
It is melted to form identical small solid spheres whose radius is 7 cm.
The volume of the sphere of radius
Let
The volume of the sphere
It melts and forms a small sphere.
The sphere's volume = The small sphere's volume
⇒
⇒
Hence, the correct answer is 216.
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