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Volume of ice-cream filled = 4 × Volume of right circular cylindrical vessel
radius, r = d/2 = 21/2 cm ,
height, h = 38 cm
Volume of one vessel = πr²h
==> 22/7 × 21/2 × 21/2 × 38
==> 11 × 3 × 21 × 19
==> 33 × 399
==> 13167 cm³
Volume of ice-cream filled = 4 × Volume of one vessel
==> 4 × 13167
==> 52668 cm³
Volume of shape in which the ice-cream has to be filled = Volume of cone + volume of hemisphere ( at the top )
==> 1/3 πr²h + 2/3πr³
==> πr²h + 2πr³ / 3
==> πr² ( h + 2r ) / 3
==> 22/7 × 7/2 × 7/2 ( 12 + 2×7/2 ) / 3
==> 77 / 2 ( 19 ) / 3
==> 1463 / 2 / 3
==> 1463/6 cm³
Number of cones = Volume of ice-cream filled / volume of one cone
==> 52668 / 1463 / 6
==> 316008 / 1463
==> 216
216 such cones can be filled.
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