an oval hemispere
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The cross section must be 2-dimensional so it cannot be a hemispere - or hemisphere, even.
I suggest the shape is lenticular: the shape of a convex lens (with equal radii of curvature).
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Rectangle
a rectangle.
A square.
circle just did it on apex
No, a prism has flat sides. Triangular prisms are very common, but any polygon can be the cross section of a prism.