Semiconductor devices are fabricated from single$-$crystal silicon rods. To

make these rods, a single$-$crystal silicon $$seed$$ is dipped into a container

of molten Si$.$ The silicon seed is slowly rotated and pulled up from the melt

as the silicon freezes onto the seed. In one setup, a rod $100$ mm in diameter

is grown for $50$ h to a final length of $60$ cm$.$ The rod diameter is constant.

The density of solid silicon is $2\mathrm{.}33$ g$/$cm$3.$ Find the mass rate of

accumulation $($g$/$h$)$ of the silicon on the road.