Q21 of 51 Page 1

A right circular cylinder having diameter 12 cm and height 15 cm is full of ice-cream. The ice-cream is to be filled in cones of height 12 cm and diameter 6 cm having a hemispherical shape on the top. Find the number of such cones which can be filled with ice-cream.

Given: Diameter of cylinder = 12 cm


Height of cylinder = 15 cm


Diameter of cone = 6 cm


Height of cone = 12 cm


To find: Number of cones to be filled with ice-cream.


Formula Used:


Volume of cone =


Volume of the cylinder = πr2h


Volume of hemisphere =


Explanation:


Radius of cylinder “R” = = 6 cm


Height of cylinder “H” = 15 cm


Volume of cylinder = π×(6)2×15


= π×36×15


= 540π cm3


Radius of cone “r” = = 3 cm


Height of cone “h” = 12 cm


Volume of conical part =


=


= 36π cm3


Volume of hemispherical part =




= 18π cm3


Volume of ice-cream = Volume of conical part + Volume of hemispherical part


= 36π + 18π


= 54π cm3




= 10


Hence 10 cones are required.


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