   Chapter 11.7, Problem 94E

Chapter
Section
Textbook Problem

# Sketching a SolidIn Exercises 87–90, sketch the solid that has the given description in cylindrical coordinates. 0 ≤ θ ≤ 2 π , 2 ≤ r ≤ 4 , z 2 ≤ − r 2 + 6 r − 8

To determine

To graph: The solid that has the given description in cylindrical coordinates.

0θ2π,2r4,z2r2+6r8.

Explanation

Given: The provided cylindrical coordinates is:

0θ2π,2r4,z2r2+6r8

Graph: The following sets in cylindrical coordinates is,

{(r,θ,z):2r4, 0θ2π, z2r2+6r8}

As according to the given conditions,

0θ2π

Therefore,

tan(0)tanθtan(2π)0tanθ0

2r44r216

And, r2=x2+y2

On substituting r2</

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