$6.$ The cylinder bore is ${4\mathrm{.}5}^{\text{'}\text{'}},$ the rod diameter $1\mathrm{.}2",$ and the flow control is set at $3gpm.$ What is the extension speed for the cylinder in fpm$?$ Note: $1$ US gallon $=231cu.$ In$.$

a$.1\mathrm{.}82fpm$

b$.2\mathrm{.}53fpm$

c$.2\mathrm{.}76fpm$

d$.3\mathrm{.}63fpm$