Geometry

Question Analysis
This question is about working backwards from the ratio of areas of two similar cylinders (derived from the scale factor) to find the area of the larger cylinder .
The main focus is on the relationship between the scale factor and the ratio of areas.

Key Concept Explanation
The surface area ratio of two similar 3D objects is the square of the ratio of their corresponding linear dimensions. , we can use this formula to solve for the unknown area when the other values are provided.

Step-by-step Solution
Let the scale factor be and , and let be the area of the larger cylinder and square meters be the area of the smaller cylinder.
We know that , then

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