27. A solid metallic cylinder of radius 3.5 cmand height 14 cm is melted and recastinto a number of small solid metallic ballsf radius cm. Find the number712of balls so formed. G4[[CBSE 2016)]

27. A solid metallic cylinder of radius 3.5 cmand height 14 cm is melt

1.	27. A solid metallic cylinder of radius 3.5 cmand height 14 cm is melted and recastinto a number of small solid metallic ballsf radius cm. Find the number712of balls so formed. G4[[CBSE 2016)]
Answer» Radius of cylinder R =3.5cmheight H =14cmradius of the ball r=7/12cmlet n be the number of balls that can be form from the cylinder. Since the cylinder is recast into the small spherical balls, so n x volume of sphere = volume of cylinder n4/3 πr^3= πR^2H [ pi get cancelled ]nx4/3r^3=R^2H nx4x7x7x7/3x12x12x12= 3.5x 3.5x141372n/5184=171.5n =171.5x5184/1372n=889056/1372n=648 hence 648 small balls can be formed by the cylinder.