Find the number of solid spheres, each of diameter 6 cm, that can be made by melting a solid metal cylinder of height 12 cm and diameter 6 cm.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 3.
Number of solid spheres = Volume of cylinder/Volume of sphere
Volume of cylinder = πr2h
⇒ 22/7 × 3 × 3 × 12 = 339.42 cm3
Volume of sphere = 4/3πr3
⇒ 4/3 × 22/7 × 3 × 3 × 3 = 113.14 cm3
Number of solid spheres = 339.42/113.14 = 3