A sphere of radius 4 cm is carved from a homogeneous sphere of radius 8 cm and mass 160 g. The mass of the smaller sphere is?

The ratio of the volume of the smaller sphere to the larger =  (4)^3 / (8)^3  = 1/8

Assuming a uniform density:    D = M/V .......so......

160 / 8  = Mass of the smaller sphere / 1

Mass  of the smaller sphere  = 20 g

1.3333333333333333*1607.68 = 2143.573333333333279744
 

simplify to 2143.57

SORRY WRONG PERSON

40g

Thanks CPhill