Right circular hollow cylinder: Difference between revisions
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[[File:खोखला बेलन (ज्यामिति ).jpg|thumb|Hollow cylinder (geometry) )]] |
[[File:खोखला बेलन (ज्यामिति ).jpg|thumb|Hollow cylinder (geometry) )]] |
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'''Right circular hollow cylinder'''. By folding a rectangular metal sheet in circular perpendicular shape, we get a right circular hollow cylinder |
'''Right circular hollow cylinder'''. By folding a rectangular metal sheet in circular perpendicular shape, we get a right circular hollow cylinder . |
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==Definition== |
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A right hollow circular cylinder is a three-dimensional solid bounded by two parallel cylindrical surfaces and by two parallel circular bases cut out from two parallel planes by these two cylindrical surfaces. |
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==Volume of right circular hollow cylinder== |
==Volume of right circular hollow cylinder== |
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*Area of circular bases=2(πR२-πr२)=2π(R२-r२) |
*Area of circular bases=2(πR२-πr२)=2π(R२-r२) |
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*Total surface area=curved surface area +2.area of base=2πh(R+r)+2π(R२-r२)=2πh(R+r)+2π(R+r)(R-r)=2π(R+r)(h+R-r) |
*Total surface area=curved surface area +2.area of base=2πh(R+r)+2π(R२-r२)=2πh(R+r)+2π(R+r)(R-r)=2π(R+r)(h+R-r) |
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==Related products== |
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*[[Hydraulic Cylinders]] |
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*[[Rodless Cylinders]] |
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*[[Air Cylinders]] |
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*[[Electrohydraulic Cylinders]]<ref>http://www.globalspec.com/calculators/hollow-cylinder-properties</ref> |
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==External links== |
==External links== |
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[[Category:Geometry]] |
[[Category:Geometry]] |
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[[Category:Mathematics]] |
[[Category:Mathematics]] |
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[[Category:Engineering ]] |
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Revision as of 06:51, 18 September 2016
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Right circular hollow cylinder. By folding a rectangular metal sheet in circular perpendicular shape, we get a right circular hollow cylinder .
Definition
A right hollow circular cylinder is a three-dimensional solid bounded by two parallel cylindrical surfaces and by two parallel circular bases cut out from two parallel planes by these two cylindrical surfaces.
Volume of right circular hollow cylinder
If height of cylinder is h and with external and internal radii are R and r respectively of the cylinder then we can get volume from following formula:[1][2]
- Volume = (πR2 − πr2)h
Curved surface area of right circular hollow cylinder
If external & internal radii are R and r respectively and hight is h then we can get curved surface from following formula :
- Curved surface area= 2πRh+2π r h=2πh(R+r)
Total surface of Right circular hollow cylinder
If radii of circular base are external and internal R & r then area of base we can get from following formula:
- Area of circular bases=2(πR२-πr२)=2π(R२-r२)
- Total surface area=curved surface area +2.area of base=2πh(R+r)+2π(R२-r२)=2πh(R+r)+2π(R+r)(R-r)=2π(R+r)(h+R-r)
Related products
External links
- Surface area of a cylinder at MATHguide
- Volume of a cylinder at MATHguide