A solid sphere made of wax of radius 12 cm is melted and cast into solid hemispheres of radius 4 cm each. Find the number of such solid hemispheres.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 54.
Given that
A solid sphere made of wax of radius (R) = 12 cm
The radius of each solid hemisphere (r) = 4 cm
Let the N number of solid hemisphere is cast by a solid sphere
According to the question
The volume of a solid sphere = N × Volume of a solid hemisphere
⇒ (4/3)πR3 = N × (2/3)πr3
⇒ N = 2(12/4)3 = 2 × 27 = 54