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 force that the cord exerts on the sphere 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/ $m ^ { 3 }$