(c) Spherical coordinates. (d) Find the volume of the region by evaluating one of the integrals in parts (a), (b), or (c).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 43E: A frustum of a cone is the portion of the cone bounded between the circular base and a plane...
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Needed to be solved Part C and D correctly in 20 minutes and get the thumbs up please show me neat and clean work for it by hand solution needed
9. Express the volume of the region in the first octant, bounded by the cylinder x² + y² = 1,
below the plane z = 4, and above the paraboloid z = 1- x² - y².
(a) Cartesian coordinates.
(b) Cylindrical coordinates.
(c) Spherical coordinates.
(d) Find the volume of the region by evaluating one of the integrals in parts (a), (b),
or (c).
Transcribed Image Text:9. Express the volume of the region in the first octant, bounded by the cylinder x² + y² = 1, below the plane z = 4, and above the paraboloid z = 1- x² - y². (a) Cartesian coordinates. (b) Cylindrical coordinates. (c) Spherical coordinates. (d) Find the volume of the region by evaluating one of the integrals in parts (a), (b), or (c).
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