1.

A worker piles up sand onto a circular area of radius R. No sand is to spill onto the surrounding area. The coefficient of friction of sand on sand is \[\mu \]. The greatest volume of the sand that can be stored in the manner is

A. \[\frac{\pi \mu {{R}^{3}}}{3}\]
B. \[\frac{\pi \mu {{R}^{3}}}{6}\]
C. \[\frac{\pi {{R}^{3}}}{3\mu }\]
D. None
Answer» B. \[\frac{\pi \mu {{R}^{3}}}{6}\]


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