Answer :

Given,


Internal diameter of the hemisphere = 6 cm


External diameter of the hemisphere = 10 cm


Diameter of cone = 14 cm


So we have,


Internal radius(r) of the hemisphere = 3 cm


External radius(R) of the hemisphere = 5 cm


Radius of cone = 7 cm


Now,


Volume of the hollow hemisphere = Volume of the cone
Volume of the hollow hemisphere =


Volume of the cone =


So,





= 2 × 98 = 49 × h


= h


So,


h = = 4 cm


Thus, the height of the cone formed is 4 cm.


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