Question

How many spherical balls can be made out of a solid cube of lead whose edge measures 44cm

and each ball being 4cm in diameter​

Answer 1

Answer:

Step-by-step explanation:

Hi ,

i ) Dimensions of the solid lead cube :

edge of the cube ( a ) = 44 cm

volume of the cube ( V1 ) = a³ ---( 1 )

ii ) Dimensions of the each Spherical ball :

diameter ( d ) = 4cm

radius ( r ) = d/2 = 4/2 = 2 cm

volume of the each ball ( V2 ) = ( 4/3 )πr³--(2 )

Let the number of spherical balled made

by the solid cube are ' n '

n = ( V1 )/( V2 )

n = ( a³ )/[ ( 4/3 )πr³ ]

n = ( 44 )³ /[ ( 4/3 )× ( 22/7 ) × 2³ ]

n = ( 44 × 44 × 44 × 7 )/( 3 × 22 × 8 )

n = ( 1788864 )/( 704 )

n = 2541

Therefore ,

2541 Spherical balls are made from the

given Solid cube .

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