If 100 asteriods, each of diameter of 100 km, were combined into a single object, approximately what would its diameter be?

Answer 1

volume total= 100*4/3 PI (50,000)^3

new volume=above=4/3 PI (r^3)

100 * 4/3 PI (50,000)^3=4/3 PI (r^3)

so r= 50km*cuberoot100
diameter would be
100km*cubrt 100