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Deepak Bora
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From a cube of edge 14 cm, a cone of maximum size is carved out. Find the volume of the remaining material.

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This is the Important question of class 10 Based on Mensuration Chapter of M.L Aggarwal book for ICSE BOARD.
Here the edge cube is given , a cone of maximum size is carved out then find the volume of the remaining material.
This is the Question Number 03, Exercise 17.4 of M.L Aggarwal.

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  1. ML Aggarwal Sol Class 10 Maths chapter 17-18

    Given edge of the cube, a = 14 cm

    Radius of the cone, r = 14/2 = 7 cm

    Height of the cone, h = 14 cm

    Volume of the cube = a3

    = 143

    = 14×14×14

    = 2744 cm3

    Volume of the cone = (1/3)r2h

    = (1/3)×(22/7)×72×14

    = 22×7×14/3

    = 2156/3 cm3

    Volume of the remaining material = Volume of the cube- Volume of the cone

    = 2744-2156/3

    = (3×2744-2156)/3

    = (8232 – 2156)/3

    = 6076/3

    ML Aggarwal Sol Class 10 Maths chapter 17-19

    Hence the volume of the remaining material is ML Aggarwal Sol Class 10 Maths chapter 17-20.

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