# MATH 157

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what is the ratio of the surface areas for a pair of similar cylinders when the ratio of the heights is 1:3?
i don't understand this at all!!

• MATH 157 -

the surface area of similar figures varies directly as the square of their corresponding sides

so surface area(1)/surface area(2) = (1^2)/(3^2) = 1/9

so the surface area of the larger cylinder is 9 times that of the smaller.

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