A hollow sphere of internal and external radius 6cm and 8 CM respectively is melted and recast into small cone of base radius 2 centimetre and height 8 centimetre find the number of cones
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Volume of hollow cylinder V = π(R2-r2)h where R= radius of the outer surface and r= radius of the inner surface
Volume of each cone v= 1/3π*(r1)2 *h2 where r2 = radius of the cone and h2=height of the cone
Let the cylinder be melted into 'n' number of cones. Then by equating the volume of hollow cylinder and cone we get,
π(R2-r2)h = n...[ + ]
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