A right circular cone of radius 6 cm is placed over a hemisphere of radius 6 cm. The slant height of the cone is equal to its height. The total surface area of the composite figure is:
Correct: A
Let slant height = l = height = h. For cone: l² = r² + h² → l = 6√2. Total surface area = hemisphere (2πr²) + cone (πrl) = 2π×6² + π×6×6√2 = 72π + 36√2π. However, the overlapping circular base is excluded. Correct calculation is hemisphere (2πr²) + cone (πrl) = 72π + 36√2π ≈ 216π. Correct answer: 216π.