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A 21 \(cm\) lengthy funnel is in the form of a frustum surmounted on a cylinder. The base radius of the cylinder is 2 \(cm\) and the height of the frustum is \(6.3\) \(cm\). If the top radius of the funnel is 4 \(cm\), then find the outer surface area of the funnel.
Answer:
The outer surface area of the funnel \(=\) \(cm^2\)
[Note: Enter the answer up to two decimal places.]