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11 September, 11:43

A child rolls a ball on a level floor 3.5 m to another child. If the ball makes 12.0 revolutions, what is its diameter?

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  1. 11 September, 11:53
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    d = linear distance traveled by the ball from one child to another child = 3.5 m

    n = number of revolutions of the ball = 12

    r = radius of the ball

    C = circumference of the ball = ?

    circumference of the ball is given as

    C = 2πr

    we know that:

    linear distance traveled = number of revolutions x circumference of ball

    d = n x 2πr

    d = 2πr n

    inserting the values

    3.5 = 2 (3.14) (12) r

    r = 0.046 m

    D = diameter of the ball

    diameter is given as

    D = 2r

    D = 2 (0.046)

    D = 0.092 m
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