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A sphere and a cylinder are both three-dimensional geometric shapes that can be defined by their dimensions, specifically their radii and heights. Each shape has a curved surface; the sphere is uniformly curved in all directions, while the cylinder has a curved surface along its side and flat circular bases at the top and bottom. Additionally, both shapes can be described using similar mathematical concepts, such as volume and surface area, which depend on their respective dimensions. Lastly, they both can be used in various applications in physics and engineering, such as in fluid dynamics and structural design.
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What was Archimedes discovery about sphere and cylinder?
He discovered the relationship between a sphere and a circumscribed cylinder of the same height and diameter. The volume is 4⁄3πr3 for the sphere, and 2πr3 for the cylinder. The surface area is 4πr2 for the sphere, and 6πr2 for the cylinder (including its two bases), where r is the radius of the sphere and cylinder. The sphere has a volume and surface area two-thirds that of the cylinder. A sculpted sphere and cylinder were placed on the tomb of Archimedes at his request.
A cylinder and a sphere are different?
Yes, because a cylinder has lines and a sphere is round. Yes a cylinder has a circle but it does has lines also. But a circle has no vertexes. And a cylinder has a vertexes.
What is different about a cylinder and sphere?
A cylinder looks like a piece of pipe. A sphere looks like a ball.
Does a cone a cylinder and a sphere have any vertices?
The cone has one. Neither the cylinder nor the sphere has any.
Which figure has two circular bases a sphere or a cylinder?
A cylinder
What was Archimedes discovery about sphere and cylinder?
He discovered the relationship between a sphere and a circumscribed cylinder of the same height and diameter. The volume is 4⁄3πr3 for the sphere, and 2πr3 for the cylinder. The surface area is 4πr2 for the sphere, and 6πr2 for the cylinder (including its two bases), where r is the radius of the sphere and cylinder. The sphere has a volume and surface area two-thirds that of the cylinder. A sculpted sphere and cylinder were placed on the tomb of Archimedes at his request.
Is a cylinder a sphere?
No, it is a prism as both of its bases are the same.
How can you prove that the volume of a sphere is equal to the volume of a cylinder provided their radii are equal and the height of the cylinder is equal to the diameter of the sphere?
I'm quite sure this is impossible to prove, because the volume of a sphere is not equal to the volume of a cylinder with the same radius and height equal to the sphere's diameter. This can be shown as: Volume of sphere = (4*pi*r3) / 3. Volume of cylinder = pi*r2*h. Here, the height, h, of the cylinder = d = 2r. So, the volume of the cylinder = pi*r2*2r = 2*pi*r3, which obviously does not equal the volume of the sphere. The volume of half a sphere (with radius r) is equal to the volume of a cylinder(whose height is equal to its radius, r) minus the volume of a cone with the same height and radius. Therefore, the volume of a sphere is just double that. If you follow the nearby link, you can see a nice demonstration of that.
What is the difference between cylinder and a sphere?
A sphere has 0 vortex and a cylinder has 2 faces
A cylinder and a sphere are different?
Yes, because a cylinder has lines and a sphere is round. Yes a cylinder has a circle but it does has lines also. But a circle has no vertexes. And a cylinder has a vertexes.
What is different about a cylinder and sphere?
A cylinder looks like a piece of pipe. A sphere looks like a ball.
Does a cone a cylinder and a sphere have any vertices?
The cone has one. Neither the cylinder nor the sphere has any.
What plane shape can you make by tracing a sphere?
Technically you can not trace a sphere. If the base conditions are the same as for the other solid shapes, for example a cylinder, there is a base on which the cylinder rests, which creates the circle when it is traced. A sphere on a base would be touching in one point, which would be a dot. If you trace half a sphere, yes, than you do get a circle.
Is a sphere a prisme?
No, a cylinder is.
Which figure has two circular bases a sphere or a cylinder?
A cylinder
What solid shape has no corners 3 faces and 2 round edges?
cylinder or a sphere Actually, it is only a cylinder, not a sphere. A sphere has only 1 face and no edges.
How are two ways a cylinder and a sphere different?
A cylinder 3 faces compared to one and a sphere is fully round unlike a cylinder which has a flat bootom and top.
