As Shown in the Figure,an Air Pocket at the Top $560 \mathrm {~cm} ^ { 3 }$

As shown in the figure,an air pocket at the top of a vertical tube,closed at the upper end and open at the lower,occupies a volume of $560 \mathrm {~cm} ^ { 3 }$ at the surface of a lake where the air pressure is $1.0 \times 10 ^ { 5 } \mathrm {~Pa}$ and the temperature is $37 ^ { \circ } \mathrm { C }$ What is the volume of the air in the pocket if the tube is taken to a depth of 56 meters,where the temperature is $7 ^ { \circ } \mathrm { C } \text { ? }$ Assume that none of the air escapes from the tube.The density of the water in the lake is 1000 kg/m³.