Multiple choice

If the radius of a right circular cylinder is increased by 50% and its height is increased by 60%. Its volume will be decreased by ? यदि किसी बेलन की त्रिज्या 50% कम तथा ऊँचाई 60% बढ़ायी जाये, तब इसका आयतन कितना प्रतिशत कम हो जायेगा ?

  1. 100%

  2. 60%

  3. 40%

  4. 20%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If radius is reduced by 50% (to 0.5r) and height increased by 60% (to 1.6h), new volume = π(0.5r)²(1.6h) = 0.4πr²h, which is 40% of original. This is a 60% decrease. Note: The English text says 'increased' but Hindi says 'कम' (decreased/less) - Hindi is correct.

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