Question

a solid metallic cylinder of radius 3.5 cm and height 14 cm is melted and recast into a number of small solid metallic balls each of radius 7 by 12 cm find the number of balls so formed

Answer 1

Answer:

Step-by-step explanation:

radius of cylinder R =3.5cm

height H =14cm

radius of the ball r=7/12cm

let 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 pir^3= piR^2H [ pi get cancelled ]

nx4/3r^3=R^2H

nx4x7x7x7/3x12x12x12= 3.5x 3.5x14

1372n/5184=171.5

n =171.5x5184/1372

n=889056/1372

n=648

hence 648 small balls can be formed by the cylinder.