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Q: When you trace one surface of a cone or cylinder you see me what am i?
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Is the lateral surface area of cone is always one-third of cylinder's?

No, it never can equal one third of the lateral surface area:If the base of the cylinder and cone has radius r, and the height of the cone and cylinder has height h, then:Lateral surface area of a cone = πr√(r2+h2)Lateral surface area of a cylinder = 2πrhThe lateral surface area of a cone equals one third the lateral surface area of a cone when:πr√(r2+h2) = 1/3 x 2πrh⇒ √(r2+h2) = 2/3h⇒ r2+h2 = 4/9h2⇒ r2 = -5/9h2But a square number can never be negative, so this is impossible.However, the volume of a cone is one third the volume of the cylinder with the same radius r and height h:Volume cone = 1/3πr2hVolume cylinder = πr2h


Which one of the following geometric forms is a curved surface?

A sphere has a total curved surface. A cylinder and a cone have a partial curved surface


How many faces does a cylinder and cone have?

cylinder has 2 and cone one


What shape have one curved surface and one flat surface?

a cone.


How many more bases does a cylinder have then a cone?

it has one more, because a cylinder has 2 and a cone has one.


The volume of a cone compared to the volume of a cylinder?

If the area of the base and the height of the cylinder and the cone are the same, then the volume of the cone will always be one third of the volume of the cylinder.


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

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


Why is the curved surface of cone not 2pi x r x l when the circumference is 2 x pi x r and L is the slant height that moves through this distance?

Good question. Firstly, I'm assuming you are referring to a regular cone (i.e one with the same slope on all sides, as opposed to one where the uppermost "tip" is pushed off centre).The area 2*pi*radius* length does give you a "surface", but it is based on the base measurements of the cone - it is the surface that would be created if you were to extend the curved surface straight upwards from the base of the cone (i.e creating a cylinder, not a cone).A cone clearly has less curved surface area than a cylinder - in fact, it has half the surface area of the equivalent cylinder. So the equation is pi*radius*slant height. (i.e not 2*pi*radius*slant height).


What is the difference between cone and cylinder?

A cylinder has two bases that are circles but a cone only has one base then a vertex.


What is the difference between a cylinder and a cone?

A cylinder has two bases that are circles but a cone only has one base then a vertex.


How is the cylinder and cone different?

Cylinder and cone are different because:Cylinder doesn't have the sharp point at the end as cone has.Cylinder has two circular bases while cone only has one.


Does a cone have an edge?

If a cylinder has two edges then a cone by that definition has one edge and one vertice.