The number of rounds that a wheel of diameter 7/11 metre will make in traversing 4 km

The number of rounds that a wheel of diameter 7/11 metre will make in traversing 4 km will be
(a) 500
(b) 1000
(c) 1700
(d) 2000

Anurag Mishra Professor Asked on 20th February 2016 in Maths.
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    Answer: (d) 2000

    Solution:-
    The diameter of a wheel  = 7/11
    Therefore, the radius of the wheel = 7/2 x 11
     = 7/22 m 

    Distance covered by wheel in a round = circumference of the wheel = 2 x pai x r
    Then,  distance covered by wheel in a round = 2 x 22 x 7/7 x 22
     = 2 m 

    So ,the number of rounds in traversing 4 km = 4000/2
     = 2000

    Hence, the correct answer is option (d) 2000. 

    Anurag Mishra Professor Answered on 20th February 2016.
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