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Examples: 1.) A curve wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the x-axis of the cylinder. The second plane crosses the first plane at 45° angle at the center of the cylinder. Find the volume of the wedge.

Examples: 1.) A curve wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the x-axis of the cylinder. The second plane crosses the first plane at 45° angle at the center of the cylinder. Find the volume of the wedge.

Advanced Engineering Mathematics
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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Examples: 1.) A curve wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the x-axis of the cylinder. The second plane crosses the first plane at 45° angle at the center of the cylinder. Find the volume of the wedge.
Transcribed Image Text:Examples: 1.) A curve wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicular to the x-axis of the cylinder. The second plane crosses the first plane at 45° angle at the center of the cylinder. Find the volume of the wedge.
2.) A pyramid 3m high has a square base that is 3m on a side. The cross-section of the pyramid perpendicular to the altitude x m down from the vertex is a square x m on a side. Find the volume of the pyramid.
Transcribed Image Text:2.) A pyramid 3m high has a square base that is 3m on a side. The cross-section of the pyramid perpendicular to the altitude x m down from the vertex is a square x m on a side. Find the volume of the pyramid.
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