posted by Howie .
In spherical coordinates, the inequalities 0≤ρ≤2, 3π/4 ≤ φ ≤ π 0 ≤ θ ≤ 2π, describe what kind of shape?
So, the radius is from 0 to 2, and it makes a full circle around the z-axis.
But what does 3π/4 ≤ φ ≤ π do to it?
It is like a 45 degree segment of a sphere with radius 2. Imagine an orange that can be broken into 8 segments. This would be one of them.
so would the shape be an cone ?
No. Did you read what I wrote previously?
It is a wedged-shaped segment of a sphere.