Thursday, September 22, 2011

Geometry

Frustum
R1=radius of lower base
R2=radius of upper base
s=slant height
h=altitude(height in center)
O=semicone angle(angle the cone makes at the top from the middle of the circle)
S=lateral surface area
T=total surface area
V= Volume

s=SQRT((R1-R2)^2 +h^2)=h/(cosO)=(R1-R2)/(sinO)
S=pi(R1+R2)s
T=pi[R1^2+R2^2+(R1+R2)s]
V=1/3*pi*h(R1^2+R2^2+R1*R2)

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