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.