Force the use of the shell method in integration request?

Questions
,
1

I am trying to help my intern with a Calc II problem relative to revolving solids.
I input the request “revolve region between y=x^2 and y=6x+7 about the x axis”,
which defaults to the use of the Washer method to find the volume (I would have done the same)
The problem requires the use of the Shell method and I was wondering if there is a function that can specify the integration method in the request.

Thanks

2

This took me a while. I had forgotten what those names meant.

It really doesn’t seem like there’s a format for that:
https://www.wolframalpha.com/examples/SurfacesAndSolidsOfRevolution.html

So you’d likely need to spell out the example yourself. If would like to suggest it, please leave feedback on the Wolfram|Alpha webpage.