(Q10) A cone is 8.4cm high and the radius of its base is 2.1cm .It is melted and recast into a sphere find the radius of sphere
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volume of cone= volume of sphere
2/3πr^2h= 4/3πr^3
r^2h=2r^3
18.52=r^3
2/3πr^2h= 4/3πr^3
r^2h=2r^3
18.52=r^3
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Volume of a cone = pie r² h/3 = 38.808 (Put the respective values)....
Now volume if sphere = 4/3 pie r³
so, 4/3 pie r³ = 38.808
or, 4.19 r³ = 38.808
or, r³ = 9.262
or, r = 2.1 (approx).... is the radius of the sphere...
Now volume if sphere = 4/3 pie r³
so, 4/3 pie r³ = 38.808
or, 4.19 r³ = 38.808
or, r³ = 9.262
or, r = 2.1 (approx).... is the radius of the sphere...
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