4. A cylindrical silo with a hemisphere top has a surface area, A= 2nrh+37r, where r is the radius of the cylindrical base and the radius of the hemisphere and h is the height of the cylindrical base. The height is measured to be 30 m with a possible error in measurement of 0.2 m and the radius is measured at 5 m with a possible error of 0.1 m. Use differentials to estimate the largest possible relative error when the surface area of the silo is calculated from these measurements. Write your final answer as a percent rounded to the nearest tenth.
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