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    Question

    A solid cylinder has radius of base 14 cm and height 15

    cm. 4 identical cylinders are cut from each base as shown in the given figure. Height of small cylinder is 5 cm. What is the total surface area (in cm2) of the remaining part?
    A 3740 Correct Answer Incorrect Answer
    B 3432 Correct Answer Incorrect Answer
    C 3124 Correct Answer Incorrect Answer
    D 2816 Correct Answer Incorrect Answer

    Solution

    The part where we have cut the cylinder Top base is remove but lower base Crete, that means we can say no change in but C.S.A of 4 cylinder is add. Same case for lower base of original cylinder T.S.A of original cylinder + 8 × C.S.A 2 πR (R + h) + 8 × 2 πrh 2 × 22/7 × 14 × 29 + 8 × 2 × 22/7 × 7/2 × 5 2 × 22/7 (406 + 140) = 2 × 22/7 × 54 44 × 78 = 3432 cm2

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