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Deepak Bora
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A certain number of metallic cones each of radius 2 cm and height 3 cm are melted and recast in a solid sphere of radius 6 cm. Find the number of cones.

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This is the Important question of class 10 Based on Mensuration Chapter of M.L Aggarwal book for ICSE BOARD.
In this question certain number of metallic cones each of radius and height is given are melted and recast in a solid sphere of radius 6 cm.So, Find the number of cones.
This is the Question Number 24, Exercise 17.5 of M.L Aggarwal.

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1 Answer

  1. Given radius of metallic cones, r = 2 cm

    Height of cone, h = 3 cm

    Volume of cone = (1/3)r2h

    = (1/3)×22×3

    = 4 cm3

    Radius of the solid sphere, R = 6 cm

    Volume of the solid sphere = (4/3)R3

    = (4/3)63

    = 4××2×6×6

    = 288 cm3

    Number of cones made from sphere = Volume of solid sphere / volume of the cone

    288/4

    = 72

    Hence the number of cones that can be made is 72.

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