Q 11-10-008JEE MainAIEEE 2011Easy
An aluminium sphere of $20$ cm diameter is heated from $0°$C to $100°$C. Its volume changes by (coefficient of linear expansion of aluminium $= 23 \times 10^{-6}\ °\text{C}^{-1}$)
Answer: (C) $28.9$ cc
$\gamma = 3\alpha = 69 \times 10^{-6}\ °\text{C}^{-1}$ and $V_0 = \dfrac{4}{3}\pi(10)^3 \approx 4189$ cc:
$$\Delta V = V_0\gamma\Delta T = 4189 \times 69 \times 10^{-6} \times 100 \approx 28.9\ \text{cc}$$
Solution by Sreeraj P, M.Sc Physics