2. Suppose a bagel is perfectly shaped, in other words, the hole in the center of the bagel is a perfect circle and if you cut the bagel vertically (when the bagel is lying flat) on one side, the cut end would be a circle of radius r. Th distance from the center of the hole to the center of the circle of radius r is R. A diagram of this will be provided. (a) Find the volume of the bagel by taking horizontal slices (when the bagel is lying flat). (b) Find the volume of the bagel by taking slices in a different way than in part (a). Make sure your answers match.
2. Suppose a bagel is perfectly shaped, in other words, the hole in the center of the bagel is a perfect circle and if you cut the bagel vertically (when the bagel is lying flat) on one side, the cut end would be a circle of radius r. Th distance from the center of the hole to the center of the circle of radius r is R. A diagram of this will be provided. (a) Find the volume of the bagel by taking horizontal slices (when the bagel is lying flat). (b) Find the volume of the bagel by taking slices in a different way than in part (a). Make sure your answers match.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need help with (a) and (b). Please show all work as specific as possible. And if used the FTOC theorem, please label in what steps you used it.
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