A site is underlain by a $18m$ thick sand layer with OCR$=1$ and friction angle $=41$ degrees. Under the sand layer lies weathered bedrock with unconfined compression strength $=12$MPa and $x=1\mathrm{.}5.$ A rough concrete pile with diameter $=0\mathrm{.}6m$ is drilled into the into the profile; the end of the pile rests on the bedrock. Draw the pile and profile and calculate the ultimate bearing capacity of the pile. Show your work and circle your answer.