a metallic sphere of radius 10.5 cm is melted and recast into smaller cones each of radius 3.5 cm and height 3 cm find the number of cones thus formed
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no of cones is 378 is the answer
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Let the number of cones be n.
Volume of n number of cones=volume of the sphere
n×1/3πr^2h= 4/3πr^3
n×r^2h = 4r^3
n × (3.5)^2 ×3 = 4× (10.5)^3
n × 36.75= 4630.5
n = 4630.5/36.75
n = 126
Hope it helps
Volume of n number of cones=volume of the sphere
n×1/3πr^2h= 4/3πr^3
n×r^2h = 4r^3
n × (3.5)^2 ×3 = 4× (10.5)^3
n × 36.75= 4630.5
n = 4630.5/36.75
n = 126
Hope it helps
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