Math, asked by Adii9655617, 1 year ago

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

Answers

Answered by Panzer786
12
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.
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