The volume of a metal sphere increases by 0.24% when its temperature is raised by ,40oC. What is the coefficient of linear expansion (in  oC−1 of the metal ?

Solids can expand in three dimensions upon heating which is known as volumetric expansion and is given by:V=Vo(1+γΔT)V−Vo=γΔTΔV=γΔTHence the percentage change in volume is given by :⇒ΔVV=γΔT⇒0.24100=γ×40Also, γ=3α⇒α=73⇒α=6×10−53=2×10−5−C−1