When water is heated from $0°\mathrm{C}$  to $4°\mathrm{C},$  its volume

An aluminium sphere of $20 \mathrm{cm}$ diameter is heated from $0°\mathrm{C}$ to $100°\mathrm{C}$. Its volume changes by (given that coefficient of linear expansion for aluminium ${\mathrm{\alpha }}_{\mathrm{Al}}=23\times {10}^{-6} {}^{\circ }\mathrm{C}^{-1}$)

Body $A$ and body $B$ are made up of an isotropic material. Body $B$ has a cavity inside it.

Consider the following statements.

(1) The coefficient of linear expansion has dimension ${\mathrm{K}}^{-1}$.

(2) The coefficient of volume expansion has dimension ${\mathrm{K}}^{-1}$.