Answer:
97.03%
Explanation:
The equation for volumetric expansion due to thermal expansion is as follows
V/Vo=(1+γΔT)
V=final volume
Vo=initial volume
γ=coefficient of volume expansion=3.2 × 10–5 K–1
ΔT=
temperature difference
assuming that the earth is a sphere the volume is given by
V=(4/3)pi R^3
if we find the relationship between the initial and final volume we have the following
[tex]\frac{V}{Vo} =\frac{ \frac{4}{3} \pi r^{3} }{ \frac{4}{3} \pi ro^{3}}=\frac{r^{3} }{ro^{3}}[/tex]
taking into account the previous equation
r/ro=(1+γΔT)^(1/3)
r/r0=(1-3.2x10-5(3000-300))^(1/3)=
r/ro=0.9703=97.03%
