The crushing of cinnabar from a specific surface of $\frac{36}{f}t$ to $\frac{7260}{f}t$ required $135hp$ in a squirrel cage disintegrator. What is the required horsepower of the same material for a reduction in size of $3$ inches to $0\mathrm{.}075$ inch? Assume shape factor of $1\mathrm{.}33$ for cinnabar.

a$.189hp$

b$.23hp$

c$.254hp$

d$.102hp$