A solid metallic sphere of radius 6 cm is melted and recast into spherical balls of radius 3 cm. The number of spherical balls thus obtained is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 8.
Radius of the original sphere (R) = 6 cm
Volume = (4/3)πR3 = (4/3)π63 = 288π cm3
Radius of the smaller spheres (r) = 3 cm
Volume = (4/3)πr3 = (4/3)π33 = 36π cm3
Number of smaller spheres = 288π/36π = 8
Therefore, 8 smaller spherical balls can be obtained.