Largest right circular cone cut out from cube

The volume, in cm³, of the largest right circular cone that can be cut out of a cube of side 9 cm is approximately

  1. 243
  2. 382
  3. 573
  4. 191

 

 

Manish Listener Asked on 31st October 2014 in Maths.
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    Answer : (4). 191

    We have a cube having each is 9cm.
    Then , a right circular cone is cut from it Cone having dimension are ; radius of cone = 4.5cm, height of cone  = 9cm.
    As, we know that the formula for finding Volume of cone
       volume of Cone =  ( pie * r2 *h ) * 1 / 3
                                volume of Cone = 0.33 * 3.14 *( 4.5 * 4.5 * 9 )
                                volume of Cone = 1.04 * 20.25 * 9.42
                                volume of Cone = 9.42 * 20.25
                                volume of Cone = 190.755
    On rounding off volume is 190.755 ~ 191cm3.(approx.)

    vijay Professor Answered on 14th July 2015.
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