To find the surface area of a hemisphere, we use the formula:
\[ \text{Surface Area} = 2\pi r^2 + \pi r^2 = 3\pi r^2 \]
where \( r \) is the radius of the hemisphere.
Given \( r = 10 , \text{m} \):
\[ \text{Surface Area} = 3\pi (10)^2 = 3\pi (100) = 300\pi , \text{m}^2 \]
Therefore, the surface area of the hemisphere is \( 300\pi , \text{m}^2 \).
So the correct answer is \( 300\pi , \text{m}^2 \).