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
1 answer:
Answer:
x^2 + y^2 <= 4, 0 <= z <= 8
Step-by-step explanation:
- Region that lies on/below the plane means Z<=8
- Region that lies on/above the xy 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
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