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A cylindrical container of radius 6 cm and height 15 cm is full of ice cream. The ice cream is distributed into cones (radius 3 cm, height 12 cm) each topped with a hemispherical scoop of radius 3 cm.
How many such cones can be completely filled?

Class 10Volume of Combined SolidsMensuration
  • A10
  • B11
  • C20
  • D9

Step-by-Step Solution

Cylinder = π(36)(15) = 540 π. Each cone+scoop = π(9)(12) + π(27) = 36 π + 18 π = 54 π. Number = cones.
Answer: A) 10

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