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Use double integral to find the volume of the cylinder-like object that exists above the first quadrant on the xy plane and below the plane z = 10. The

Use double integral to find the volume of the cylinder-like object that exists above the first quadrant on the xy plane and below the plane z = 10. The

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Use double integral to find the volume of the cylinder-like object that exists above the first quadrant on the xy plane and below the plane z = 10. The cross section of this "cylinder" on the xy plane is given by the polar equation r = 50 sin (20) (shown in figure, ignore the scale/numbers). Use the formula Volume = zdA, R where R is the domain over which we are interested to find the volume under the surface z. Sketch the region R before doing the integration. (In polar coordinates, dA = rdrd0) Y 0.75 0.5 0.2 -0.75 -0.5 0.5 0.75 -0.2 0.5 -0.75 Note that this "cylinder" is not the "usual circular" cylinder that we are familiar with
Transcribed Image Text:Use double integral to find the volume of the cylinder-like object that exists above the first quadrant on the xy plane and below the plane z = 10. The cross section of this "cylinder" on the xy plane is given by the polar equation r = 50 sin (20) (shown in figure, ignore the scale/numbers). Use the formula Volume = zdA, R where R is the domain over which we are interested to find the volume under the surface z. Sketch the region R before doing the integration. (In polar coordinates, dA = rdrd0) Y 0.75 0.5 0.2 -0.75 -0.5 0.5 0.75 -0.2 0.5 -0.75 Note that this "cylinder" is not the "usual circular" cylinder that we are familiar with
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