How Much Volume will be Change? If

If the radius of a cylinder is decreased by 50% and the height is increased by 50% then the change in volume is

  1. 52.5%
  2. 67.5%
  3. 57.5%
  4. 62.5%
Manish Listener Asked on 9th July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 62.5% 
    Explanation:-
    Formula-
    The volume of cylinder = Pai r2h
    According to the question,
    Now, the volume of the cylinder = Pai(r/2)2 (h + h/2)
    = Pai r2/4 (3h/2)
    = Pai r23h/8
    Change volume = Pai r2h – Pai r23h/8
    = Pai (8r2h – 3r2h)/8
    = Pai 5r2h/8
    Change in percent = (Pai 5r2h/8) x 100/Pai r2h
    = 5 x 100/8
    = 62.5%
    Hence, the answer is (4) 62.5%.

    Anurag Mishra Professor Answered on 13th July 2015.
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