a metallic sphere of radius 10.5 cm is melted and then recast into smaller cone each of radius 3.5 cm and height 3 cm how many cones are obtained
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Heya !!
Radius of sphere ( R ) = 10.5 cm
Volume of sphere = 4/3 πR³
=> 4/3 × 22/7 × 10.5 × 10.5 × 10.5
=> ( 4 × 22 × 1157.625 ) / 21
=> 101871/21 cm³.
Radius of cone ( r ) = 3.5 cm
Height of cone ( h ) = 3 cm
Volume of cone = 1/3 πR²H
=> 1/3 × 22/7 × 3.5 × 3.5 × 3
=> ( 22 × 3.5 × 3.5 × 3 ) / 21
=> 808.5 / 21
Number of cones = Volume of sphere/ volume of cone
=> 101871/21 / 808.5 / 21
=> 126.
Radius of sphere ( R ) = 10.5 cm
Volume of sphere = 4/3 πR³
=> 4/3 × 22/7 × 10.5 × 10.5 × 10.5
=> ( 4 × 22 × 1157.625 ) / 21
=> 101871/21 cm³.
Radius of cone ( r ) = 3.5 cm
Height of cone ( h ) = 3 cm
Volume of cone = 1/3 πR²H
=> 1/3 × 22/7 × 3.5 × 3.5 × 3
=> ( 22 × 3.5 × 3.5 × 3 ) / 21
=> 808.5 / 21
Number of cones = Volume of sphere/ volume of cone
=> 101871/21 / 808.5 / 21
=> 126.
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