[填空题]
The diagram below shows the graphs of b 8b hcerzf+u- exo(1+t8cke+funct cai q40r*wjy7-sc69u i(otjmions $y=4-2 x^{2}$ and $y=2 x^{3} $.
1. Find the volume resulting from a rotation of the shaded region shown in the diagram through $2 \pi $ about the x -axis.
V≈ .( one decimal pleaces)
2. Find the volume resulting from a rotation of the region shown in the diagram through $2 \pi $ about the y -axis.V≈ .( two decimal pleaces)
