The surface area \( A \) of a hemisphere (including the flat circular base) can be calculated using the formula:
\[ A = 2\pi r^2 + \pi r^2 \]
Here, \( r \) is the radius of the hemisphere. The first term \( 2\pi r^2 \) represents the curved surface area, and the second term \( \pi r^2 \) represents the area of the base.
Given that the radius \( r = 10 \) m, we can substitute this value into the formula:
\[ A = 2\pi (10)^2 + \pi (10)^2 \]
Calculating this step-by-step:
\[ A = 2\pi (100) + \pi (100) = 200\pi + 100\pi = 300\pi \]
Thus, the surface area of the hemisphere is:
\[ \boxed{300\pi} \text{ m}^2 \]
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