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There are many options. Amongst them:

An ellipsoid (including a sphere) intersected by two planes which do not, themselves intersect within the shape;

A paraboloid intersected by two planes which do not, themselves intersect within the shape;

A cone intersected by two planes which do not, themselves intersect within the shape;

A semi-hyperboloid intersected by two planes which do not, themselves intersect within the shape;

A toroid (doughnut) intersected by two planes which do not, themselves intersect within the shape;

An elliptic prism intersected by two planes which do not, themselves intersect within the shape.

The last of these would include a cylinder.

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Q: What is a geometric solid with two surfaces and one that is curved?
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