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    Question

    The radii of two solid right circular cylinders are 11

    cm and 9 cm respectively and their heights are (h+1) cm and (2h+1) cm respectively. If the areas of the whole surface of the two cylinders are equal, then the ratio of their volumes is:
    A 333:475 Correct Answer Incorrect Answer
    B 847:1053 Correct Answer Incorrect Answer
    C 153:132 Correct Answer Incorrect Answer
    D 486/625 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Whole surface area of cylinder = 2πR(H+R) 2π x 11[h+1+11] = 2π x 9[2h+1+9] 11[h+12] = 9[2h+10] 11h+132 = 18h+90 7h = 42 h = 6 so, V1/V2 = (π x 112 x (h+1))/(π x 92 x (2h+1))           = (121 x (6+1))/(81 x (2 x 6+1))           = (121 x 7)/(81 x 13)           = 847/1053

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