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Question

The radius of a wire is decreased to one third. If volume remains the same, the length will become

(a) 3 times   (b) 6 times 

(c) 9 times     (d) 27 times



    Solution

    The correct option is

    In the first case, r and h1 be the radius and

    height of the cylindrical wire

    Volume = πr2h1

    In second case, radius is decreased to one third

    Radius =13r

    Volume =π(13r)2h2 

    =19πr2h2 Volume are equal 

    πr2h1=19πr2h2

    h1=19h29h1=h2

    In second case is 9 times 


    Mathematics
    RD Sharma
    Standard IX

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