Set up volumes, parametric lengths and surfaces of revolution
Coordinates are in metres. Give exact rational values; Vpi and Api mean the coefficients in V=Vpi·π m³ and A=Api·π m². Circular-function arguments are in radians
The region between these two curves over the stated interval is revolved about the x-axis. Give outer and inner radii at x=1, then Vpi. Identify radii by distance, including on the negative side
\[y=(1)(5x+4),\quad y=(3)x,\quad0\le x\le 1\]