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17 October, 08:56

The radius of a small ball is around 4.89796 cm. the radius of a basketball is about 2.45 times larger. what is the ratio of the surface areas of the small ball and a basketball?

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  1. 17 October, 10:16
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    Formula for surface area of a sphere of radius r is A = 4pi*r^2.

    The same formula, for the case where the radius is 2.45 times greater, comes out to A = 4pi*[2.45r]^2.

    Just find the ratio of

    4pi*r^2 to 4pi*[2.45r]^2. It is 1/6.
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