Find the equillibrium length for the system after increasing temperature by `Delta T`.

The temperature of the system increases during an:

A cubical block is floating inside a bath. The temperature of system is increased by small temperature delta(T) . It was found that the depth of submerged portion of cube does not change. Find the relation between coefficient of linear expansion (alpha) of the cube and volume expansion of liquid (gamma) .

The radious of a metal sphere at room temperature T is R, and the coefficient of linar expansion of the metal is alpha . The sphere is heated a little by a temperature Delta T so that its new temperature is T+ Delta T . The increase in the volume of the sphere is approximately