A solid metallic cylinder of base radius 6 cm and height 10 cm is melted to form small cylinders, each of height 2.5 cm and base radius 2 cm. Find the number of small cylinders.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 36.
Let the number of small cylinders be n
The volume of a cylinder = πR2h
here, R = radius of large cylinder, h = height
So,
Volume = π(6)2 × 10 = 360π cm3
Now,
The volume of small cylinder = πr2h
r = radius of small cylinder
Volume = π × (2)2 × 2.5 = 10π cm3
So,
⇒ n = Volume of large cylinder/Volume of small cylinder
⇒ n = 360π/10π = 36