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