Final answer:
The Schwarzschild radius of the black hole is approximately \(1.047 \times 10^5\).
Step-by-step explanation:
The Schwarzschild radius (\(r_s\)) of a black hole can be calculated using the formula:
\[ r_s = \frac{2G M}{c^2} \]
where:
\( G \) is the gravitational constant (\(6.67 \times 10^{-11} \, \text{m}^3 \, \text{kg}^{-1} \, \text{s}^{-2}\)),
\( M \) is the mass of the black hole (given as \(7.05 \times 10^{28} \, \text{kg}\)),
\( c \) is the speed of light in a vacuum (\(3.00 \times 10^8 \, \text{m/s}\)).
Now, plug in the values and calculate:
\[ r_s = \frac{2 \times 6.67 \times 10^{-11} \times 7.05 \times 10^{28}}{(3.00 \times 10^8)^2} \]
\[ r_s \approx 1.047 \times 10^5 \]
The Schwarzschild radius of the black hole is approximately \(1.047 \times 10^5\).