1. ## Volume of Revolution

I took these questions out of my book to review. I am stuck on volume of solids.

Find the volume of the solid generated by revolving the shaded region around the x-axis.

y = 4 sec x

2. y = (x)^.5, y = 0, x=0, x=6

3. y= 1/x, y=0, x=1, x=5

2. Originally Posted by Collegeboy110
I took these questions out of my book to review. I am stuck on volume of solids.

Find the volume of the solid generated by revolving the shaded region around the x-axis.

y = 4 sec x

2. y = (x)^.5, y = 0, x=0, x=6

3. y= 1/x, y=0, x=1, x=5
all three of these problems use the disk method ...

general formula ... $\displaystyle V = \pi \int_a^b [r(x)]^2 \, dx$

1. $\displaystyle V = \pi \int_0^{\frac{\pi}{4}} (4\sec{x})^2 \, dx$

2. $\displaystyle V= \pi \int_0^6 (\sqrt{x})^2 \, dx$

3. $\displaystyle V = \pi \int_1^5 \left(\frac{1}{x}\right)^2 \, dx$

3. Thank you that was helpful. so when it says x=0, x=6.. you integrate it from 0 to 6?... the next step would be to integrate and that would be my answer?