Discussion
Surface Area of a hemisphere is 2772 cm2 then the total surface area of hemisphere is
Answer: A
The total surface area is 4158 cm\(^{2}\).
Here the given 2772 cm\(^{2}\) is the curved surface area, \(2\pi r^{2}\). The total surface area adds the flat circular face, \(\pi r^{2}\), giving \(3\pi r^{2}\):
\[ \begin{aligned} 2\pi r^{2} &= 2772 \Rightarrow \pi r^{2} = 1386 \\ \text{TSA} &= 3\pi r^{2} = 3 \times 1386 = 4158 \end{aligned} \]
(Indeed \(r^{2} = 1386 \times \frac{7}{22} = 441\), so \(r\) = 21 cm.) The other values are not multiples of 1386 and do not come from the formula.
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