The coefficient of linear expansion of steel is 11 * 10^-⁶ per C$\degree$. A steel ball has a volume of exactly 100 cm³ at 0 $\degree$C. When heated to 100 $\degree$C, its volume becomes:

Question

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The volume expansion can be calculated using the formula for volumetric expansion: ΔV = βV₀ΔT, where β is approximately 3 times the linear expansion coefficient for isotropic materials like steel. So, β = 3 × 11 × 10^-6 = 33 × 10^-6. ΔV = 33 × 10^-6 × 100 cm³ × 100°C = 0.33 cm³. Therefore, the new volume is 100 + 0.33 = 100.33 cm³.

The Coefficient of Linear Expansion of Steel Is 11 °\degree° a Steel Ball Has a Volume of Exactly 100

The Coefficient of Linear Expansion of Steel Is 11 $\degree$ a Steel Ball Has a Volume of Exactly 100