|
| Solid
Geometry |
|
|
|
Solids
of Revolution |
Cylinder
|
|
Cone
|
|
Conical
frustum
|
|
Sphere
|
|
Spherical
cap |
|
Spherical
segment |
|
Spherical
sector |
|
|
|
|
|
|
| Solid
of revolution |
| A
solid figure generated by revolving a line or curve (the
generator) around a fixed axis. |
|
| Cylinder |
A cylinder is solid of revolution
generated by rotation of rectangular around one of its sides as the axis of
revolution. |
|
 |
| 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 |
 |
|
|
| Sphere
|
| A sphere is generated by rotation of
a semicircle around its diameter. |
 |
 |
|
| S
= 4p r2 |
-
surface |
| V
= 4/3p r3
|
-
volume |
|
|
| Spherical cap |
 |
 |
|
 |
-
surface |
 |
-
volume |
 |
-
volume |
|
|
| Spherical
segment |
 |
|
|
| Spherical
sector |
 |
 |
-
surface |
 |
-
volume |
|
|
|
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| Geometry
and use of trigonometry contents - B |
|
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| Copyright
© 2004 - 2020, Nabla Ltd. All rights reserved. |
