Help! Finding Volumes: Disc and Shell Method

[aws41109]

Here is a list of the 5 problems I had to complete. I am turning them in after Easter, can someone check over and see if I made any mistakes? I am not 100% on the answers.

 

[tkhunny]

Not real clear on D. Are you subtracting the right piece? Maybe 6 - y^2 instead of y^2 - 0?

You're a cube short on E. x in [0,1] is missing.

Great work. You ARE getting it!

 

[aws41109]

Not real clear on D. Are you subtracting the right piece? Maybe 6 - y^2 instead of y^2 - 0?

You're a cube short on E. x in [0,1] is missing.

Great work. You ARE getting it!

In D, I am subtracting the shaded area from the entire "rectangle" between [1,2] with respect to y. Essentially, I take the entire area (6)² minus the shaded region's area (y²)²

I don't know what you mean by "a cube short on E. x in [0,1] is missing." Could you please explain further?

 

[galactus]

I don't know what you mean by "a cube short on E. x in [0,1] is missing." Could you please explain further?

I think what tkh is referring to in part E is the little piece you left out from 0 to 1. It is a 1-by-1-by1 cube.

You calculated the region from 1 to 4 OK.

Here is a graph of what I mean:

 

[aws41109]

I think what tkh is referring to in part E is the little piece you left out from 0 to 1. It is a 1-by-1-by1 cube.

You calculated the region from 1 to 4 OK.

Here is a graph of what I mean:

Oh, I see. Thanks