Answer:
624.8 pi
Step-by-step explanation:
Given that a parabola open up with original as vertex is rotated about x axis
LImits for x are 1 and 5
y = x^2 is the parabola
We have volume when rotated about x axis is
[tex]\pi \int\limits^a_b {y^2} \, dx[/tex]
Here lower limit = 1 and higher limit = 5
[tex]\pi \int\limits^5_1 {y^2} \, dx \\=\pi \int\limits^5_1 {x^4} \, dx \\=\pi (\frac{x^5}{5} )_1^5\\=\pi (\frac{1}{5} )(5^5-1^5)\\= 624.8 \pi[/tex]
Volume generated = 624.8 pi
