Let us see some more examples.

Example-11. A cylindrical container is filled with ice-cream whose diameter is 12 cm and height is 15cm. The whole icecream is distributed to 10 children by filling in equal cones and forming hemispherical tops. If the height of the conical portionis twice the diameter of its base, find the diameter of the ice cream cone.

Solution : Let the radius of the base of conical ice cream = x cm
therefor diameter = 2x cm
Then, the 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

Diameterofcylindricalcontainer =12cm

Its height (h) = 15 cm

Volume of cylindrical container =pr²h

= p(6)²15

= 540p cm³

Number of children to whom ice cream is given = 10

Volumeof cylindrical container /Volume of one icecream cone = 10