A plane is found in two dimensions; a surface is part of a three-dimension object, including possibly a set of planes, such as a cube or a pyramid.
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there is no difference
it is same as surface and volume ! a plane angle is 2D and solid angle is 3D
points of co-ordinates plane are represent by cartesian
That can be an ellipse, circle, parabola, or hyperbola. It depends on the angle between the plane and the axis or surface of the cone.
Their dimensionality.