Question
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).Solution
Let the original radius and height of the cone be 'r' and 'h' respectively. And after 25% increasing radius and height of the cone R and H. Then, original volume = 1/3 πr²h. 25% =1/4 r =4 h =4 After increasing – R=5 and H =5 1/3 πr²h =1/3 πR2H 64 =125 Increasing percentage =61/64)×100 =95.3%
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