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.