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19 February, 08:27

Two similar cylinders have surface areas of 40pi square feet and 90pi. What is the ratio of the height of the large cylinders to the height of the small cylinder?

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  1. 19 February, 08:43
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    The ratio of heights = ratio of the square roots of the areas because area is 2 dimensional and height is one dimensional.

    so required ratio is sqrt 40pi : = sqrt40:sqrt80 = sqrt1: sqrt2 = sqrt (1/2) = 0.7071 to 4 significant figures
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