Right Circular
Cone
In a right circular cone, the
axis is perpendicular to the base. (If the axis of a
circular cone is not perpendicular to the
base, it is called an oblique circular cone.)
The length of any line segment connecting
the vertex to the directrix is called the
slant height of the cone. |
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Height: h
Radius of base: r
Slant height: s
Lateral surface area: S
Total surface area: T
Volume: V
B = p
r2
s = sqrt[r2+h2]
S = p
rs
T = p
r(r+s)
V = p
r2h/3
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Frustum of a Right Circular
Cone
The part of a right circular cone
between the base and a plane parallel to the base
whose distance from the base is less than
the height of the cone.
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Height: h
Radius of bases: r, R
Slant height: s
Lateral surface area: S
Total surface area: T
Volume: V
s = sqrt([R-r]2+h2)
S = p(r+R)s
T = p(r[r+s]+R[R+s])
V = p(R2+rR+r2)h/3 |
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