A metallic solid hemisphere of radius 12 cm is melted and recast into spheres of radius 2 cm. Find the number of spheres thus formed.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 108.
Volume of hemisphere = (2/3) × π × (12)3 = 1152π cm3
Volume of one small sphere = (4/3) × π × (2)3 = (32/3)π cm3
Number of spheres = (1152π)/(32π/3) = 108