A steel bowl has a mass of 14 kg and will displace a volume of 0.17m^3. What is the extra mass that can be added to the bowl before it will sink when floating in water of density 1000kg m^-3 ?

Answer 1

X kg = mass added.
Dbmax = Dw.
Dbmax = Density of bowl with X kg added.
Dw = Density of water.

Dbmax = (14+X)kg / 0.17m^3 = 1000kg/m^3
(14+X)/0.17 = 1000
14 + X = 170
X = 170 - 14 = 156 kg added.