Mathematicians in Space: Black Hole Brainteasers

Problem 5: Black Hole Brainteaser 5

Mathematicians in Space are on a mission to solve the most challenging brainteasers in the cosmos!

Problem 5: The Black Hole Conundrum

Dr. Mathematically Yours has created a black hole so dense it has its own gravitational pull. If it takes 3.5 seconds for a spaceship to orbit the black hole, what is the time it takes for a spaceship to orbit the black hole if it is shrunk down to 1/10th its original size?

Note: The original size of the black hole is irrelevant to the problem. The key is in the math, not the mass.

Answer: 4.2 seconds!

Don't get lost in space without solving this one, folks!