Answer :

We have,


The radius of the cone (r) = 5cm and


The height of the cone (h) = 20cm


Let the radius of the sphere be R;


As,


Volume of sphere = Volume of cone


πR3 = πr2h


4R3 = 5 × 5 × 20


R3 = = 125 cm


R = 5 cm


Diameter of the sphere = 2R = 2 x 5 = 10 cm


So, the diameter of the sphere is 10 cm


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