Question

how many solid shots of radius 2mm can be formed from a solid copper cylinder of radius 4cm and height 16cm

Answer 1

Given  : solid copper cylinder of radius 4cm and height 16cm

To Find :  How many solid shots of radius 2mm can be formed

Solution:

Volume of cylinder = πR²H

R = 4 cm

H = 16 cm

Volume of cylinder = π(4)² * 16  =  256π  cm³

Volume of Sphere = (4/3)πr³

r = 2mm = 2/10 cm

Volume of  1 solid shot  =   (4/3)π(2/10)³  =  32π/3000 cm³

solid shots of radius 2mm can be formed = Volume of cylinder/ Volume of  1 solid shot

= 256π   / (32π/3000)

= 8 * 3000

= 24000

24000  solid shots of radius 2mm can be formed from a solid copper cylinder of radius 4cm and height 16cm

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