A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on th...

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A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The radius and height of the cylindrical part are \( 5 \mathrm{~cm} \) and \( 13 \mathrm{~cm} \) respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Find the surface area of the toy if the total height of the toy is \( 30 \mathrm{~cm} \).
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