Q. 45.0( 2 Votes )
A cylinder of radius 2 cm and height 10 cm is melted into small spherical balls of diameter 1 cm. Find the number of such balls.
Answer :
Given.
Cylinder of radius 2 cm and height 10 cm
spherical balls of diameter 1 cm
Formula used/Theory.
Volume of cylinder = πr2h
Volume of sphere = 
πr3
Volume of cylinder = πr2h
= π × (2 cm) 2 × 10 cm
= 40π cm3
Radius of sphere = 
= 0.5 cm
Volume of sphere = 
πr3
= 
π (0.5 cm) 3
= 
π cm3
**Note we will not put value of π as it will be divided in next step
Number of spherical balls will be dividing the total volume of cylinder by volume of 1 spherical ball
Number of spherical balls = 
= 240
∴ 240 Spherical balls can be made by melting cylinder
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