Explanation

This is a composite-surface-area problem. The cone's slant height is √(24² + 7²) = 25 cm, so its lateral area is π × 7 × 25 = 175π. The hemisphere contributes 2π × 7² = 98π (its base is hidden against the cone). Total outer area = 273π cm². Option (a) 327π is the trap from adding the hemisphere's base circle as well. Hence option (d).