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Q: A worker wishes to pile a cone of sand onto a circular area in his yard. The radious of the circle is R, and no sand is to spill into the surrounding area. If is the static coefficient of friction between each layer of sand along the slope and the sand beneath it (along which it might slip), show that the greatest volume of sand that can be stored in this manner is

(pi**R3)/3.

(The volme of a cone is Ah/3, where A is the base area and h is the cone's height).

sorry, should've stated:

I've sat here thinking about this question for about 3 hrs now to no avail.

the only thing I can scratch up is the fact that since V =Ah/3 and V(cone)= (pi**R3)/3.

that means h = R.

But I don't know how that works...

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# Homework Help: Friction dilemma

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