Answer :

Let the radius of the base of conical ice cream = x cm


Then, height of the conical ice cream = 2 × diameter


= 2 × (2x)


= 4x cm


Volume of ice- cream cone


= Volume of conical portion + Volume of hemispherical portion





= 2πx3 cm3


Now,


Diameter of cylindrical container = 12cm


So, radius = 6cm


and height = 15cm


Volume of cylindrical container = πr2h


= π × (6)2 × (15)


= 540π cm3





x3 = 27


x = 3


So, the radius of the base of conical ice cream is 3cm


Hence, the diameter of the base of conical ice-cream = 2×3 = 6cm


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