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What solid figure has no bases and one curved surface?
For example, a sphere or an ellipsoid.
What shape has 1 vertex?
cone
Is a cone a sphere based pyramid?
maybe
What is the relation between sphere and cone?
The ancient Greek mathematician Archimedes proved that the volume of a sphere is four times that of the cone with base equal to a great circle of the sphere and height the radius of the sphere. Maybe this is what the poser of the question meant.
What are the solids with curved serfaces?
Sphere, cylinder and cone
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