A worker wishes to pile a cone of sand onto a circular area in his yard. The radius of
Channel: Doubtnut
Date: 2020-08-30

A worker wishes to pile a cone of sand onto a circular area in his yard. The radius of the circle is r,and no sand is to spill on to the surrounding area. If `mu` is the static coefficient of friction between each layer of sand along the slope and the sand, show that the greatest volume of sand that can be stored in this manner is `(1)/(3) pi muR^(3)`.