Question: Sand is poured at a constant rate onto a flat horizontal surface. It forms a pile in the shape of a cone with a

Sand is poured at a constant rate onto a flat horizontal surface.

Sand is poured at a constant rate onto a flat horizontal surface. It forms a pile in the shape of a cone with a constant slope. (a) If r is the radius of the base of the cone, find how r varies with t, given that r(0) = 0. (b) If it takes a time t for r to reach ri, how long does it take for the radius to reach 2r1 (in terms of t)? [3] [2]

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