Write inequalites to describe the region. The solid cylinder that lies on or below the z=8 and or above the disk in the xy-plane with center the origin and radius 2

Question

Mathematics

Davis Holt

6 June, 00:22

Write inequalites to describe the region. The solid cylinder that lies on or below the z=8 and or above the disk in the xy-plane with center the origin and radius 2

+2

Answers (1)

Know the Answer?

Alissa Compton · Answer 1

x^2 + y^2 < = 4, 0 < = z < = 8

Step-by-step explanation:

Region that lies on/below the plane means Z=0.

Combining 1 and 2, we get

0<=Z<=8

If we want disk of radius 2 in x-y plane to be centered at origin the inequality becomes:

x^2 + y^2 < = 4