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Topic: Right circular cone

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	Table of Contents
		Plane element to right circular cylinder of finite length and radius, normal to element passes through one end of cylinder and is perpendicular to cylinder axis.
		Interior of outer right circular cylinder of finite length to exterior of coaxial inner right circular cylinder.
		Frustum of right circular cone to coaxial attached frustum.
	www.me.utexas.edu /~howell/tablecon.html (3494 words)

	NationMaster - Encyclopedia: Right circular cone (Site not responding. Last check: )
		In geometry, a right circular cone is a cone whose base is a circle and whose apex is on a line perpendicular to the plane containing the base.
		Plane element to right circular cylinder of finite length and radius, normal to element passes through one end of cylinder and is perpendicular to cylinder axis.
		Interior of outer right circular cylinder of finite length to exterior of coaxial inner right circular cylinder.
	www.nationmaster.com /encyclopedia/Right-circular-cone (425 words)

	Conic Sections
		The conics were first defined as the intersection of: a right circular cone of varying vertex angle; a plane perpendicular to an element of the cone.
		Conic section is the intersection of a right (or oblique) circular cone and a plane.
		Let α be the angle between the axis of a right circular cone and its element (the generating lines) Let θ be the (smaller) angle formed by the axis of the cone and the cutting plane.
	xahlee.org /SpecialPlaneCurves_dir/ConicSections_dir/conicSections.html (1860 words)

	PlanetMath: cone in $\mathbb{R}^3$
		The portion of the surface of the cone belonging to the conical surface is called the lateral surface or the mantle of the solid cone and the portion belonging to the plane is the base of the solid cone.
		The intersections of a solid cone and the planes parallel to the base plane are similar.
		In any cone, the line segment of a ruling between the base plane and the apex is a side line of the cone.
	planetmath.org /encyclopedia/Mantle2.html (614 words)

	Surface of a Cone (C) (Site not responding. Last check: )
		A right circular cone is a cone whose base is a disk and whose vertex lies on the line perpendicular to the base and passing through the center of the base.
		Such a cone is characterized by the radius of the base and the altitude of the cone, that is, the distance from the vertex to the center of the base.
		The slant height of such a cone is the length of a straight line drawn from any point on the perimeter of the cone to the vertex.
	www.uwm.edu /~ericskey/TANOTES/Geometry/node15.html (224 words)

	Cone
		Right Cone: A right cone is a cone in which the vertex is aligned directly above the center of the base.
		Right Circular Cone: When the base of a right cone is a circle, its called a right circular cone.
		In a right circular cone, each point on the circle is equidistant from the vertex of the cone.
	www.icoachmath.com /Sitemap/Cone.html (157 words)

	mathematics
		In particular, for a cone or pyramid, a frustum is determined by the plane of the base and a plane parallel to the base.
		A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line: the intersection of a right circular cone with a plane parallel to an element of the cone.
		Circular measure where the circumference of a circle is divided in to a number of arcs each equal in length to the radius.
	www.fisicx.com /quickreference/mathematics/glossary.html (2057 words)

	cone
		A shape (its name comes from the Greek konos for pinecone) that has a circular or elliptical base and a vertex, also known as an apex, lying outside the plane of the base and that is formed from all the line segments joining points on the edge of the base to the vertex.
		If the base is a circle, the shape is a circular cone; if the line, or axis, from the center of the base to the vertex is perpendicular to the base, then it is a right cone (an ice-cream cone is a right circular cone); otherwise it's an oblique cone.
		Another way to think of a cone is as a surface of revolution generated by a line that rotates around a fixed point, at a fixed angle from another line (the axis), both lines passing through that fixed point.
	www.daviddarling.info /encyclopedia/C/cone.html (388 words)

	Right Circular Cone Calculator
		The formula for finding circular area has already been discussed on this site as well as the Pythagorean Theorem which can be used to calculate slant height.
		is that part of a right circular cone between the base of the cone and a plane which intersects the cone parallel to the base.
		There are formulas for frustums, but if you think about it, the calculations can be done by extending the frustum height to a vertex and then subtracting the "upper" cone's values from the complete (or extended) cone yielding the values for the frustum.
	www.1728.com /volcone.htm (312 words)

	One solution for 4.1, problem 30 (Site not responding. Last check: )
		At the beginning of the calculus book is a card labeled "Formulas from Geometry"; this card gives the formula for the volume of a right circular cone as V = 1/3 PI r^2 h, where r and h are the radius and height of the cone, as shown in the diagram next to the formula.
		The distance from the point of the cone to the edge, labeled s in the "Formulas from Geometry" diagram, is 10 meters--the radius of the circular piece of sheet metal.
		2, The circumference of the circular edge at the top of the circular cone is the circumference of the piece of sheet metal minus the length of the sector cut out.
	www.math.wisc.edu /~hunter/problem30.html (265 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: )
		So, the correct formula for the frustum of a right circular cone is piH(r^2 + rR + R^2)/3 Now, suppose that you have a cone* with a base of radius r and height H and it is cut by a plane parallel to and h units above the base.
		Let A be the center of the circle at the base of the cone, B the center of the circle up where the plane sliced the cone, and C the vertex of the cone.
		Use r for the radius and rh(r - x) for the height of the original cone and use x for the radius and rh(r - x) - h for the height of the cone that was removed.
	mathforum.org /library/drmath/view/55177.html (422 words)

	Right circular cone (Site not responding. Last check: )
		A right circular cone In geometry, a right circular cone is a cone geometry cone whose base is a circle and whose apex is on a line perpendicular to the plane mathematics plane containing the base.
		The Lateral area :LA = \frac 2\pi r l — the area of the side of the cone — equals the circumference of the base circle multiplied by the slant height of the cone the distance from the apex to any point on the outside of the base.
		The volume of the cone :V = \frac \pi r^2 h equals the area of the base
	www.uk.fraquisanto.net /Right_circular_cone (146 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: )
		Date: 10/07/2001 at 19:45:43 From: Jeffrey A Dozier Subject: Volume of a right circular cone Using calculus, derive the formula for the volume of a right circular cone with a radius of r and height h.
		I seem to remember that there is a way using calculus to create a proof showing that the volume of a right circular cone is: pi r^2 h/3.
		Note that the resulting solid would be a right circular cone with height h and radius r.
	www.mathforum.com /library/drmath/view/53773.html (196 words)

	Math Forum: Ask Dr. Math FAQ: Cone Formulas
		A cone is a surface generated by a family of all lines through a given point (the vertex)
		The line connecting the center of the base to the vertex is called the axis of the circular cone.
		In a right circular cone, the axis is perpendicular to the base.
	mathforum.org /dr.math/faq/formulas/faq.cone.html (211 words)

	AllRefer.com - cone (geometry) Information
		A right circular cone is generated by rotating an isosceles triangle about its line of symmetry.
		The distance from the edge of the base of a cone to the vertex is called the slant height.
		In a right circular cone of slant height l, the curved surface area is πrl, and the area of the base is πr
	www.allrefer.com /cone-geometry (242 words)

	ArtLex's Con page
		It usually refers to a right circular cone — a cone in which the side length remains a constant length.
		this illustration, the cones and rods are the pink forms shown embedded in the anterior of the retina's surface.
		potter's wheel, it is coned by repeatedly drawing it up into a conical shape and then flattening it down to center it on the wheel and shape the mass.
	www.artlex.com /ArtLex/Con.html (3700 words)

	Math Forum: Ask Dr. Math FAQ: Cone Formulas
		A cone is a surface generated by a family of all lines through a given point (the vertex)
		The line connecting the center of the base to the vertex is called the axis of the circular cone.
		In a right circular cone, the axis is perpendicular to the base.
	www.mathforum.org /dr.math/faq/formulas/faq.cone.html (211 words)

	Right
		A right circular cone is a cone whose axis is a line segment joining the vertex to the midpoint of the circular base, as shown in Figure 17.
		The surface area of a right circular cone is expressed in square circular cone is expressed in cubic units.
		Calculate the volume and surface area of a right circular cone with r = 3", h = 4", and l = 5".
	www.tpub.com /doemathematics/mathematics71.htm (162 words)

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	Area - QucikSeek Encyclopedia (Site not responding. Last check: )
		Total surface area of a right circular cylinder: 2 × π × r × (h + r)
		Lateral surface area of a right circular cylinder: 2 × π × r × h
		Lateral surface area of a right circular cone: π × r × lals:Fläche
	area.quickseek.com (438 words)

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