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 = 15. The cross section of this "cylinder" on the xy plane is given by the polar equation r = 5 sin (20) (shown in figure, ignore the scale/numbers). Use the formula Volume= ff 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 = rdrde)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. 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 = 15. The
cross section of this "cylinder" on the xy plane is given by the polar equation
r = 5 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)
Transcribed Image Text:3. 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 = 15. The cross section of this "cylinder" on the xy plane is given by the polar equation r = 5 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)
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