If the diameter is d = 1600km, then the radius is r = 800 km, or 800,000 meters. The formula for the volume V of a sphere with radius r is:
. . . . .V = (4/3)(pi)(r^3)
Then the volume of the planet is:
. . . . .V = (4/3)(pi)(800^3 km^3)
. . . . .. .= (4/3)(pi)(800000^3 m^3)
. . . . .. .. . . . .. . . .. . .. . . .. . .. . . . .. . . . .v = sqrt[(GM)/R]
...we get:
. . . . .v = sqrt[(2/3)(10^(-10))(pi/3)(1.06596)(10^22) / 1,430,000] m/s
. . . .. . .= sqrt[520405.9215...] m/s (approx)
. . .. . . .= 721.3916561... m/s (approx)
Rounding UP, we get 722 meters per second.
Please check my work.
Eliz.
Answers.com: orbital velocity
Astronomy 106: Orbital Velocity