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    Question

    A right circular cylinder having diameter 21 cm & height

    38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 cm having a hemispherical shape on the top. The number of such cones to be filled with ice cream is
    A 216 Correct Answer Incorrect Answer
    B 244 Correct Answer Incorrect Answer
    C 236 Correct Answer Incorrect Answer
    D 224 Correct Answer Incorrect Answer

    Solution

    ATQ, Volume of a right circular cylinder = 4/3πr²h Volume of hemisphere = 2/3πr² Volume of cone = Volume of cylinder + Volume of hemisphere = 1/3πr²h + 2/3πr² Given, Volume of right circular cylinder = n [Volume of cone + Volume of hemisphere] Therefore, 4/3πr²h = n [1/3πr²h + 2/3πr² ] Implies, π x 21² x 38 = n π / 3 x 7² / 4 [12 + 2 x 7 / 2] Implies, 21 x 21 x 38 = (n x 7 x 7) / 12 x 19 Implies, n = (21 x 21 x 38 x 12) / (7 x 7 x 19) = 216

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