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Find the volume largest right circular cone that can be cut out of a cube whose edge is 9 cm.

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We have to find the volume largest right circular cone that
can be cut out of a cube whose edge is 9 cm.

One of the important question for the board exam class 10 from
mensuration chapter.This question is from r d sharma class 10 maths.
chapter-16 question number-28 maths r d sharma,mensuration.

 

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1 Answer

  1. Given,

    The side of the cube = 9 cm

    The largest cone that can be cut from cube will have the base diameter = side of the cube

    2r = 9

    r = 9/2 cm = 4.5 cm

    And,

    Height of cone = side of cube

    So, height of cone (h) = 9 cm

    Thus,

    Volume of the largest cone to fit in = 1/3 π × r2 × h

    = 1/3 π × 4.52 × 9

    = 190.93 cm3

    Therefore, the volume of the largest cone to fit in the cube has a volume of 190.93 cm3

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