AStronomy/ Math

I do not understand how to do one of my online homework questions:

What is the Schwarzschild radius of a 100 million-solar-mass black hole? The mass of the Sun is about 2 × 1030 kg, and the formula for the Schwarzschild radius of a black hole of mass M is:
R=2GMc2,
where G=6.67×10−11m2kg×s2; c=3×108m/s.

The choices are:

300 million km
3 million km
3,000 km
3 km
30 km

  1. 👍 0
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  3. 👁 105
asked by Kaitlyn
  1. just plug in the figures:

    R = 2GM/c^2
    = (2)(6.67*10^-11)(100*10^6*2*10^30) / (9*10^16)
    = 3*10^11 m
    = 3*10^8 km
    = 3*10^2 million km
    = 300 million km

    1. 👍 0
    2. 👎 0
    posted by Steve
  2. Thank you

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    2. 👎 0
    posted by Kaitlyn
  3. 300 million km

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    2. 👎 0
    posted by kat

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