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Answer:

C. 162.5 sq ft.

Step-by-step explanation:

Given the following data;

S.A of smaller cylinder, S1 = 65 ft²

Ratio = 2:5 = 2 + 5 = 7

Let the total surface area be x.

S1 = 2/7 * x = 65

S1 = 2x = 65 * 7

S1 = 2x = 455

x = 455/2

x = 227.5 ft²

To find the surface area of the larger cylinder;

S2 = 5/7 * 227.5

S2 = 1137.5/7

S2 = 162.5 ft²

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