Multiple choice

If the base radius and the height of a right circular cone are increased, 40% then find the net % increase in volume. यदि शंकु के आधार की त्रिज्या तथा ऊँचाई 40% बढ़ जाए तो उसके आयतन में कितने: की वृद्धि हो जायेगी।

  1. 174.4 %

  2. 120.8 %

  3. 54 %

  4. 64.8 %
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A Correct answer
Explanation

Original volume = (1/3)πr²h. New radius = 1.4r, new height = 1.4h. New volume = (1/3)π(1.4r)²(1.4h) = (1/3)πr²h × 1.4³ = V × 2.744. Increase = 2.744 - 1 = 1.744 = 174.4%. Volume scales with the product of dimension changes.

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