Multiple choice

The radius of base and curved surface area of a right cylinder is 'r' units and 4πrh square units respectively. The height of the cylinder is - एक लम्बवृत्तीय बेलन की त्रिज्या और वक्रपृष्ठ क्षेत्रफल क्रमशः r मात्रक और 4πrh वर्ग मात्रक हैं बेलन की ऊँचाई है -

  1. (h/2) units/मात्रक

  2. h units/मात्रक

  3. 2h units/मात्रक

  4. 4h units/मात्रक
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C Correct answer
Explanation

Curved surface area of cylinder = 2πrh. Given CSA = 4πrh. So 2πrh = 4πrh, which is contradictory unless we recognize that the given CSA formula has a coefficient of 4, meaning h is actually 2h in the formula. If CSA = 4πrh and the standard formula is 2πrH, then H = 2h.

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