A cylinder can having diameter 24 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. How many such cones are required?
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Answer:
10
Step-by-step explanation:
Number of cones will be = Volume of cylinder / Volume of ice cream cone
For the cylinder part,
Radius = 12/2 = 6 cm
Height = 15 cm
∴ Volume of cylinder = π×r2×h = 540π
For the ice cone part,
Radius of conical part = 6/2 = 3 cm
Height = 12 cm
Radius of hemispherical part = 6/2 = 3 cm
Now,
Volume of ice cream cone = Volume of conical part + Volume of hemispherical part
= (⅓)×π×r2×h+(⅔)×π×r3
= 36π +18π
= 54π
∴ Number of cones = (540π/54π)
= 10
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