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| Solid
Geometry |
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Solids
of Revolution |
Cylinder
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Cone
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Conical
frustum
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Sphere
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Spherical
cap |
|
Spherical
segment |
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Spherical
sector |
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| Solid
of revolution |
| A
solid figure generated by revolving a line or curve (the
generator) around a fixed axis. |
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| Cylinder |
A cylinder is solid of revolution
generated by rotation of rectangular around one of its sides as the axis of
revolution. |
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| S
= 2B + Slat
= 2· r2p
+ 2rp
· h
= 2rp·(r
+ h) |
-
surface |
| V
= B · h = r2p
· h |
-
volume |
|
|
|
| Cone
|
| A cone is solid of revolution generated
by rotation of a right triangle around one of its legs as the axis of revolution. |
|
|
| S
= B + Slat
= r2p
+ rp
s = rp
(r + s) |
-
surface |
|
| V
= 1/3 ·
B · h = 1/3
r2p
· h |
-
volume |
|
|
| Conical
frustum |
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| Sphere
|
| A sphere is generated by rotation of
a semicircle around its diameter. |
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|
| S
= 4p r2 |
-
surface |
| V
= 4/3p r3
|
-
volume |
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| Spherical cap |
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|
 |
-
surface |
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-
volume |
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-
volume |
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| Spherical
segment |
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| Spherical
sector |
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-
surface |
 |
-
volume |
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| Geometry
and use of trigonometry contents |
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| Copyright
© 2004 - 2012, Nabla Ltd. All rights reserved. |
