The density of titanium is $4\mathrm{.}51\frac{g}{c}{m}^3.$ What is the volume in cubic inches of $3\mathrm{.}5lb$ of titanium?

$1lb=454$ grams, $1$ in $=2\mathrm{.}54cm.$

a$.0\mathrm{.}78i{n}^3$

b$.350i{n}^3$

c$.22i{n}^3$

d$.1\mathrm{.}4i{n}^3$

e$.440i{n}^3$