Can someone me with this question? in addition, can you provide how you got the answer; i really want to understand this type of question before my exam. : )

let r be the region bounded by the graph of f(x) = -x²+4x and g(x) = 3x²-12x+12.

a) find the points where the graphs bounded by the graph f(x) and g(x) intersects.

b) find the area of r.

c) write, but not evaluate, an integral that gives the volume of the solid of revolution generated when r is revolved about the x-axis.

d) write, but not evaluate, an integral that gives the volume of the solid of revolution generated when r is revolved about the line y = -2.