Multiple choice

The height of right circular cylinder is increased by 50% and radius is decreased by 30% then find the change in volume of cylinder? एक लम्बवृत्तीय बेलन की ऊँचाई को 50% बढ़ा दिया जाए तथा त्रिज्या 30% कम कर दी जाए तो आयतन पर क्या प्रभाव पड़ेगा?

  1. increased by 26.5% / बढ़ेगा

  2. Decreased by 26.5% / घटेगा

  3. Increased by 24.5% / बढ़ेगा

  4. Decreased by 24.5% / घटेगा
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original volume V = πr²h. New h' = 1.5h, new r' = 0.7r. New volume V' = π(0.7r)²(1.5h) = π × 0.49r² × 1.5h = 0.735πr²h = 0.735V. Change = (0.735 - 1) × 100 = -26.5%. Volume decreases by 26.5%.

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