Answer
See below
Work Step by Step
From part b, $V=\frac{2}{3^{5/2}\pi^{1/2}}S^{3/2}$
Substituting $2S$ for $S$, we have:
$V=\frac{2}{3^{5/2}\pi^{1/2}}(2S)^{3/2}\\=\frac{2}{3^{5/2}\pi^{1/2}}S^{3/2}.2^{2/3}\\=\frac{2}{3^{5/2}\pi^{1/2}}S^{3/2}(2.828)$
