Q. 243.7( 3 Votes )
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.
Volume of cone =
Volume of the cylinder = πr2h
Volume of hemisphere =
Radius of cylinder “R” = = 6 cm
Height of cylinder “H” = 15 cm
Volume of cylinder = π×(6)2×15
= 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
Hence 10 cones are required.
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