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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.


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.


Is a cone quadrilateral?

No, it is not.


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.


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.


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