Please complete number 35 and show work :) 29, 30, 31, 32, 33, 34, 35, 36, and 37 Use polar coordinates to find the volume of the given solid.29. Under the paraboloid z = a? + y² and above the disk æ² + y? < 25Answer30. Below the cone z = Va? + y? and above the ring 1 < z² + y? < 431. Below the plane 2æ + y + z = 4 and above the disk æ² + y² < 1Answer32. Inside the sphere æ? + y² + z? = 16 and outside the cylinder æ² + y² = 4%3D33. A sphere of radius aAnswer34. Bounded by the paraboloid z = 1+2=² + 2y² and the plane z =: 7 in the first octant35. Above the cone z = Va² + y? and below the sphere a² + y² + 2² = 1Answer +

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Answered: 35. Above the cone z = a² + j? and…

Math

Calculus

35. Above the cone z = a² + j? and below the sphere x² + y² + z² = 1

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 38E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 6,...

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Question

Please complete number 35 and show work :)

29, 30, 31, 32, 33, 34, 35, 36, and 37 Use polar coordinates to find the volume of the given solid.
29. Under the paraboloid z = a? + y² and above the disk æ² + y? < 25
Answer
30. Below the cone z = Va? + y? and above the ring 1 < z² + y? < 4
31. Below the plane 2æ + y + z = 4 and above the disk æ² + y² < 1
Answer
32. Inside the sphere æ? + y² + z? = 16 and outside the cylinder æ² + y² = 4
%3D
33. A sphere of radius a
Answer
34. Bounded by the paraboloid z = 1+2=² + 2y² and the plane z =
: 7 in the first octant
35. Above the cone z = Va² + y? and below the sphere a² + y² + 2² = 1
Answer +

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