Question

An aluminium sphere of radius $10cm$ is heated from $0^\circ $ to $100^\circ C.$ Its volume changes by (where, coefficient of linear expansion for aluminium $= 23 \times 10^{6} / \_{}^{^\circ }C$

• A. $28.9cc$
• B. $2.89cc$
• C. $9.28cc$
• D. $49.8cc$

Answer 1

Answer: (A)

Cubical expansion, $\Delta V=\gamma V\Delta T=3\alpha V\Delta T$ $\left[\right.\because \gamma =3\alpha \left]\right.$
$=3\times 23\times \left(10\right)^{- 6}\times \left(\frac{4}{3} \pi \times \left(10\right)^{3}\right)\times 100$
$=28.9cc$