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    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).
    A 94.31% Correct Answer Incorrect Answer
    B 95.31% Correct Answer Incorrect Answer
    C 94.51% Correct Answer Incorrect Answer
    D 93.51% Correct Answer Incorrect Answer

    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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