A compound shape comprising a cylinder and a cone. There is no single name for such a shape.
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cylinder has 2 and cone one
A cylinder has 3 faces, a cone 2. A cylinder has 2 edges, a cone 1. A cylinder consists of 2 circles and 1 rectangle, a cone consists of 1 circle and 1 semicircle.
No, there is no reason for a cone and a cylinder to have anything congruent.
A cylinder can be considered a cone whose apex has moved to infinity.