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Find the volume of a wedge cut out of a circular cylinder of 2√9-x² radius 3 with two planes: a plane perpendicular to the axis of the cylinder, and a plane intersecting the first at an angle of 45° along a diameter of the cylinder. 45° x X 3 ·x (x₁ -√9-x²)

Find the volume of a wedge cut out of a circular cylinder of 2√9-x² radius 3 with two planes: a plane perpendicular to the axis of the cylinder, and a plane intersecting the first at an angle of 45° along a diameter of the cylinder. 45° x X 3 ·x (x₁ -√9-x²)

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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Example Find the volume of a wedge cut out of a circular cylinder of 2√9-x² radius 3 with two planes: a plane perpendicular to the axis of the cylinder, and a plane intersecting the first at an angle of 45° along a diameter of the cylinder. 45° ·x (x₁ -√9-x²)
Transcribed Image Text:Example Find the volume of a wedge cut out of a circular cylinder of 2√9-x² radius 3 with two planes: a plane perpendicular to the axis of the cylinder, and a plane intersecting the first at an angle of 45° along a diameter of the cylinder. 45° ·x (x₁ -√9-x²)
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