Geometry Formulas: Surface Area and Volume of Various Shapes in Phys 250, Study notes of Physics

Formulas for calculating the surface area and volume of various geometric shapes, including a cube, rectangular prism, cylinder, pentahedron, cone, sphere, and circular torus, as covered in dr. Barzilov's phys 250 class.

Typology: Study notes

Pre 2010

Uploaded on 08/18/2009

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Dr. Barzilov’s MWF section
Phys 250 / Geometry / Formulas
Surface Area
2
6aScube =
acbcabSprism 222
+
+
=
hrrScyl
ππ
22 2+=
(
)
22 4haaaS sqpyr ++=
(
)
22 hrrrScone ++=
π
2
4rSsphere
π
=
RrStorus
2
4
π
=
Body
Cube
Rectangular Prism
Cylinder
Pentahedron
Cone
Sphere
Circular Torus
Volume
3
aVcube =
abcVprism =
hrVcyl
2
π
=
haV sqpyr
2
3
1
=
hrVcone
2
3
1
π
=
3
3
4rVsphere
π
=
22
2rRVtorus
π
=
a
a
a
c
b
a
r
h
a
h
a
h
r
r
r
R

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Dr. Barzilov’s MWF section Phys 250 / Geometry / Formulas Surface Area 2 Scube = 6 a S (^) prism = 2 ab + 2 bc+ 2 ac

Scyl 2 π r 2 πr h

2 = +

2 2 S (^) pyr −sq =a a+ a + 4 h

2 2 Scone =πr r+ r +h 2 Ssphere = 4 π r

Storus Rr

2 = 4 π Body Cube Rectangular Prism Cylinder Pentahedron Cone Sphere Circular Torus Volume 3 Vcube = a Vprism = abc Vcyl r h 2 = π V (^) pyr sq a h 2 3 1 −^ = Vcone r h 2 3 1 = π 3 3 4 Vsphere = πr 2 2

Vtorus = 2 π Rr

a a a c b a r h a h a h r r r R