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A right circular cone is 4.1cm high and radius of its base 2.1cm. another right circular cone is 4.3cm high and radius of its base is 2.1cm. both cones are

melted and recast into a sphere. find the diameter of the sphere.


So according to the question... volume of both cones=volume of the sphere...so..1/3*π*2.1^2*4.1+1/3*π*2.1^2*4.3=4/3*π*r^3=>1/3*π*r^2(4.1+4.3)=4/3πr^3=>2.1*2.1*8.4=4*r^3=>2.1*2.1*8.4/4=r^3=>2.1*2.1*2.1=r^3=>r=2.1cm(ans)
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