A solid consists of a cylinder and a hemisphere. The cylinder has radius \(r\) cm and length \(4r\) cm. The hemisphere has radius \(2r\) cm.
The total surface area of the solid is twice the total surface area of a solid cone with radius \(r\) cm and slant height \(l\) cm.
Find \(l\) in terms of \(r\).[3]
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