# 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.

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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