A Solid Sphere of Mass 8 $m ^ { 3 }$

Multiple Choice

A solid sphere of mass 8.6 kg, made of metal whose density is 3400 kg/ $m ^ { 3 }$ , hangs by a cord. When the sphere is immersed in a liquid of unknown density, the tension in the cord is 38 N. The density of the liquid is closest to which one of the following values?

A) 1900 kg/ $m ^ { 3 }$
B) 1700 kg/ $m ^ { 3 }$
C) 1600 kg/ $m ^ { 3 }$
D) 1500 kg/ $m ^ { 3 }$
E) 1400 kg/ $m ^ { 3 }$