A Solid Sphere of Mass 8 $3400 \mathrm {~kg} / \mathrm { m } ^ { 3 }$

Multiple Choice

A solid sphere of mass 8.6 kg, made of metal whose density is $3400 \mathrm {~kg} / \mathrm { m } ^ { 3 }$ 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) $1900 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
B) $1400 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
C) $1600 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
D) $1700 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
E) $1500 \mathrm {~kg} / \mathrm { m } ^ { 3 }$