A metallic sphere of radius 10.5 cm is melted and then recast into smaller cones, each of radius 3.5 cm and height 3 cm. How many cones are obtained?

We know volume of sphere of radius R is


And


Volume of cone of radius r and height h is


So, Given,


Radius of sphere, R = 10.5 cm


Radius of cone, r = 3.5 cm


Height of cone, h = 3 cm


No of cones can be made by melting sphere


Using formulas, and putting values


No of cones


Hence, 126 cones can be made.


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