This is a right circular cone and need to find the radius.  The total area = 12 pi and L.A = 8 pi.
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Lateral area is πrL=8π where r is the base radius and L the slant length.

Base area=πr2.

Total area=lateral area+base area=πrL+πr2=12π.

πr2=total area-lateral area=(12-8)π=4π, therefore r2=4 and r=2.

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