A metallic sphere of radius 10.5cm is melted and then recast into smaller cones, each of radius 3.5cm and height 3cm. How many cones are obtained?
ANSWER:
It is given that
Radius of the sphere = 10.5cm
Radius of smaller cone = 3.5cm
Height = 3cm
We know that
Number of cones = Volume of the sphere/ Volume of one small cone
So we get
Number of cones = (4/3 × (22/7) × 10.53)/ (1/3 × (22/7) × 3.52 × 3)
On further calculation
Number of cones = 4851/ 38.5 = 126
Therefore, 126 cones are obtained from the metallic sphere.
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