How many spherical balls can be made out of a solid cube of lead whose edge measures 44 cm and each ball being 4 cm. in diameter.
Answers
Answered by
103
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 .
I hope this helps you.
: )
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 .
I hope this helps you.
: )
Answered by
34
Answer:
2543 balls were required.
Step-by-step explanation:
Given : A solid cube of lead whose edge measures 44 cm and each ball being 4 cm. in diameter.
To find : How many spherical balls can be made out of a solid cube?
Solution :
Dimensions of the solid lead cube,
Edge of the cube a= 44 cm
Volume of the cube
Dimensions of the each Spherical ball,
Diameter d= 4cm
Radius r= 2 cm
Volume of the each ball
Let the number of spherical balled made by the solid cube are ' n '
Therefore, Approximately 2543 balls were required.
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