The equation would be “An= 8(4)^n”. Your answer would be equal to 8 times 4 to the 4th power, which is 2048
Answer: 
Step-by-step explanation:
Given
Curve is 
boundary is y=0 i.e.

The volume of solid generated when rotated about the x-axis is

Putting values we get
![\Rightarrow V=\int_{-1}^{1}\pi (3-3x^2)^2dx\\\\\Rightarrow V=\int_{-1}^{1}\pi(9+9x^4-18x^2)dx\\\\\Rightarrow V=\pi \left [ \frac{9x^5}{5} - 6 x^3 + 9 x\right ]_{-1}^{1}\\\\\Rightarrow V=9.6\pi](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D%5Cint_%7B-1%7D%5E%7B1%7D%5Cpi%20%283-3x%5E2%29%5E2dx%5C%5C%5C%5C%5CRightarrow%20V%3D%5Cint_%7B-1%7D%5E%7B1%7D%5Cpi%289%2B9x%5E4-18x%5E2%29dx%5C%5C%5C%5C%5CRightarrow%20V%3D%5Cpi%20%5Cleft%20%5B%20%20%5Cfrac%7B9x%5E5%7D%7B5%7D%20-%206%20x%5E3%20%2B%209%20x%5Cright%20%5D_%7B-1%7D%5E%7B1%7D%5C%5C%5C%5C%5CRightarrow%20V%3D9.6%5Cpi)