Need help for AP calc AB test coming up but am a bit stumped about how to solve this question:
Suppose a region R has an area A and lies above the x-axis. When R is rotated about the x-axis, it sweeps out a solid with volume V1. When R is rotated around the line y = -k (k is a positive integer), it sweeps out a solid of volume V2. Express V2 in terms of V1, k, and A.
With this phrasing, it doesn't sound like A is the area of the cross section formed. For V1, it can be either a disk or a ring/washer depending on if it touches the x-axis. However, in the absence of an equation, not sure where to start (unless I'm misunderstanding A).
If anyone could provide some guidance or hints it would be greatly appreciated!