The radius and height of a right circular cone is increased by 25%. Find the increase in percentage of the volume of the cone (rounded off to 2 decimal places).
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Correct answer: A
Explanation
The correct answer is option 1. i.e. 95.31%.
The radius and height of a right circular cone is increased by 25%
Let the initial volume of a cone be V
Volume of a cone = ⅓ 𝜋r2h cubic units
The volume is increased by a successively increased percentage of 25%, 25%, and 25%
So, The increased value of volume = V × (5/4) × (5/4) × (5/4) = 125V/64
Hence, the volume increased by = [(125V/64 - V)/V] × 100 = 6100/64 = 95.31%