Answer:
[tex]\frac{\pi}{2} (e^4-1)[/tex]
Step-by-step explanation:
We are given: [tex]f(x)=e^x[/tex]
The volume will be calculated via the integral as follows,
[tex]V=\pi\int\limits^2_0(e^x)^2dx=\pi\int\limits^2_0e^{2x}dx=\pi \frac{e^{2x}}{2} |^2_0 = \frac{\pi}{2} (e^4-e^0)=\frac{\pi}{2} (e^4-1)[/tex]
