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Question
A metallic sphere of radius 10.5 cm is melted and thus recast into small cones, each of radius 3.5 cm and height 3 cm. Find how many cones are obtained.
Solution
Given that
Metallic sphere of radius = 10.5cm
Cone radius= 3.5cm
Let the number of cones obtained be x
` V_s =x xxV` cone
⇒ `4/3πr^3=x × 1/3πr^2h`
⇒ `(4xx10.5xx10.5xx10.5)/(3.5xx3.5xx3)=x`
⇒ x=126
∴ Number of cones = 126
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