Practice mode Volume and Surface Area

A cylindrical container of radius 6 cm and height 15 cm is full of ice cream. It is filled into cones of radius 3 cm and height 12 cm, each topped with a hemisphere of the same radius. How many such cones can be filled?

Correct answer A. 10

Explanation

Container = π x 36 x 15 = 540π. Each cone with top = π(1/3 x 9 x 12 + 2/3 x 27) = 54π. Number = 540π / 54π = 10.

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