A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into 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, d = 12 cm

Radius of cylinder, r = 12/2 = 6cm

Height of cylinder, h = 15 cm

Volume of cylinder = πr2h

= (22/7)62 × 15

= 11880/7 cm3

For cone, radius r = 3 (since d = 6)

Height of cone, H = 12 cm

Volume of cone = (⅓)πr2H

= (⅓) (22/7)32×12

= 792/7 cm3

For hemisphere, radius, r = 3 cm

Volume of hemisphere = (⅔)πr3

= (⅔)×(22/7)×33

= 396/7 cm3

Volume of cone and hemisphere = 792/7 + 396/7

= 1188/7

The number of such cones which can be filled with ice cream = (11880/7)/(1188/7)

= 10

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