how many spheres 12 CM in diameter can be made from a metallic cylinder of diameter 8 cm and height 90 cm
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Heya !!
Diameter of sphere ( D ) = 12 cm
Radius ( R ) = D/2 = 6 cm
Volume of sphere = 4/3 πR³
=> 4/3 × 22/7 × 6 × 6 × 6
=> ( 4 × 22 × 2 × 36 )/ 7
=> 6336/7 cm³
Diameter of metallic cylinder ( d ) = 8 cm
Radius ( r ) = 4 cm
Height of cylinder = 90 cm
Volume of cylinder = πR²H
=> 22/7 × 4 × 4 × 90
=> ( 22 × 16 × 90 )/7
=> 31680/7 cm³.
Number of sphere that can be made of metallic cylinder = Volume of cylinder/Volume of sphere = 31680/7 ÷ 6336 / 7
=> 5.
Diameter of sphere ( D ) = 12 cm
Radius ( R ) = D/2 = 6 cm
Volume of sphere = 4/3 πR³
=> 4/3 × 22/7 × 6 × 6 × 6
=> ( 4 × 22 × 2 × 36 )/ 7
=> 6336/7 cm³
Diameter of metallic cylinder ( d ) = 8 cm
Radius ( r ) = 4 cm
Height of cylinder = 90 cm
Volume of cylinder = πR²H
=> 22/7 × 4 × 4 × 90
=> ( 22 × 16 × 90 )/7
=> 31680/7 cm³.
Number of sphere that can be made of metallic cylinder = Volume of cylinder/Volume of sphere = 31680/7 ÷ 6336 / 7
=> 5.
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