Let the radius of the base of conical ice cream = x cm
∴ diameter = 2x cm
Then, the height of the conical ice cream = h = 2(diameter) = 2(2x) = 4x cm
Volume of ice cream cone = Volume of conical portion + Volume of hemispherical Portion.
= πx3
Diameter of cylindrical container = 12cm
Its height (h) = 15cm
∴ Volume of cylindrical container = πr2h
= π( )2
= π cm3
Number of children to whom ice cream is given = 10
⇒ 2πx3 × 10 = π
⇒ x3 =
⇒ x =
∴ Diameter of ice cream cone 2x = 2( ) = cm.