Answer
0.855 percent
Work Step by Step
The radius of each nucleus can be calculated using equation 30–1.
$r=(1.2\times10^{-15}m)A^{1/3}$
Take the ratio of the radii.
$\frac{r_{238}}{r_{232}}=\frac{(1.2\times10^{-15}m)238^{1/3}}{(1.2\times10^{-15}m)232^{1/3}}$
$=\frac{238^{1/3}}{232^{1/3}}=1.00855$
The radius of the heavier isotope is larger by 0.855 percent.
