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INCERT EXEMPLAA solid metallic sphere of radius 10.5 cm is melted and recast into a numbercones, each of radius 3.5 cm and height 3 cm. Find the number of cones so for[CBSE 2017, NCERT EXEMPLARalto 9 cm. It is melted and drawn into alone |
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Answer» Radius of Sphere = 10.5 cmRadius of cone = 3.5 cmHeight of cone = 3 cm The volume of the metallic sphere = (4/3)Πr³ = (4/3) × Π × (10.5)³ Volume of cone = (1/3)Π r² h = (1/3) × Π × (3.5)² × 3 No of cones = Volume of Metallic Sphere/Volume of cone = (4/3) × Π × (10.5)³/(1/3) × Π × (3.5)² × 3 = 4 × 10.5 × 10.5 × 10.5/3.5 × 3.5 × 3.5 = 126 Cones |
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