Define each of the following reaction mechanism, giving its distinguishing characteristics a) direct reaction; b) compound nucleus reaction; c) pre-equilibrium reaction; d) heavy-ion reaction, and in each case give an example of the nuclear reaction described.

Ahole in the ground in the shape of an inverted cone is 14 meters deep and has radius at the top of 11 meters. the cone is filled to the top with sawdust. the density of the sawdust depends upon the depth, x, following the formula ρ ( x ) = 2.5 + 1.2 e − 0.7 x kg/m3. find the total mass of sawdust in the conical hole.