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Actually seeing the relationship between the volumes of a cone (one-third of a cylinder) and a sphere (two-thirds of a cylinder) is hard to beat. The cylinder is 1/3 the volume of the cone

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Related Questions

Difference between a sphere and a cone?

A sphere to a cone is the same as a circle is to a triangle but they are both 3 dimensional.


What is the difference between a cone sphere and a cylinder?

sphere has 1 face and no vertex and it rolls but cone has 2 faces and it can roll and it has 1 vertex


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 is the similarities between a cone a cylinder and a sphere?

They are all 3D geometric shapes.


Is a cone quadrilateral?

No, it is not.


That the height of the cone of maximum volume that can be inscribed in a sphere of radius 12cm is 16cm?

The height of the cone of maximum volume that can be inscribed in a sphere of radius 12 cm is not 16 cm; it is actually 16 cm when considering the relationship between the cone's dimensions and the sphere's radius. The cone's volume is maximized when its height is two-thirds of the sphere's radius, which means the optimal height is ( \frac{2}{3} \times 12 \text{ cm} = 8 \text{ cm} ). Thus, the statement is incorrect; the correct height for maximum volume is 8 cm, not 16 cm.


Which has a smaller surface area - cone or sphere?

cone


Does a cone a cylinder and a sphere have any vertices?

The cone has one. Neither the cylinder nor the sphere has any.


What shapes have no vertices cube pyramid cone or sphere?

Sphere


Name a real-life example of a cone and a sphere?

A cone could be a party hat && a sphere couldd be a bowling ball.


What is the relationship between square cube cylinder sphere and triangle?

the relationship between them is that they are use in many ways of living


Is a cone a sphere?

No a sphere is a solid with no vortexes, faces, or edges while a cone has two faces, one vortex, and one edge.