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Do you just need a formula like v(x) = ???
Or are you trying to find the dimensions of the glass?

OOPS you are correct... inner is x - 1 I was thinking diameter

I do think the height is 4x - 1

Sure... Are you thinking v(x) =pi (x-1)^2(4x-1).
I am not sure what they want with the 140pi

Good.. Put that in you calculator and find the positive root.

U R Welcome