Multiple choice

If the radius of a right circular cylinder (open at both ends) is decrease by 50% and the height of cylinder is increased by 50%. Then find the percentage change in total surface area of cylinder. यदि किसी लम्ब वृत्तीय वेलन, जो किनारो पर खुला है, कि त्रिज्या 50% कम कर दी जाए और उसकी उॅचाई 50% बढ़ा दी जाए तो इस प्रकार बने बेलन के वक्रपृष्ठ के क्षेत्रफल में कितने प्रतिशत का परिवर्तन होगा?

  1. 25 %

  2. 125 %

  3. 0 %

  4. 26%
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A Correct answer
Explanation

For an open cylinder (open at both ends), total surface area = curved surface area = 2πrh. New dimensions: r' = 0.5r, h' = 1.5h. New CSA = 2π(0.5r)(1.5h) = 2πrh(0.75) = 75% of original. Percentage decrease = 25%.

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