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A cone is an n-dimensional geometric shape that tapers smoothly from a base (usually flat and circular) to a point called the apex or vertex.

Formally, it is the solid figure formed by the locus of all straight line segments that join the apex to the base. The term "cone" is sometimes used to refer to the surface or the lateral surface of this solid figure (the lateral surface of a cone is equal to the surface minus the base).

The axis of a cone is the straight line (if any), passing through the apex, about which the base has a rotational symmetry.

In common usage in elementary geometry, cones are assumed to be right circular, where right means that the axis passes through the centre of the base (suitably defined) at right angles to its plane, and circular means that the base is a circle. Contrasted with right cones are oblique cones, in which the axis does not pass perpendicularly through the centre of the base.[1] In general, however, the base may be any shape, and the apex may lie anywhere (though it is often assumed that the base is bounded and has finite area, and that the apex lies outside the plane of the base). For example, a pyramid is technically a cone with a polygonal base.

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Q: What is the base and height of a cone?

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A cone with a base of 10cm and a height of 13cm has a volume of 340.34cm3

A cone with a base area of 100 and a height of six has a volume of 200 units3

Volume = Base x Height /3 Where base is the area of the base circle (pi*radius*radius) and Height is the perpendicular distance from the base to the apex of the cone

A cone with a base of 9 cm and a height of 12 cm has a volume of 254.469 cm3

A cone with a base of 5 units and a height of 12 units has a volume of 78.54 cubic units.

A cone with a base of 10 units and a height of 36 units has a volume of 942.48 cubic units.

A cone with height 24 and the base diameter 7 has a surface area of 305.17 units2

The cone's perpendicular height is: 2.47 inches The cone's slant height is: 5.26 inches

Volume of a cone = 1/3*pi*radius2*height

no The area of a cone is 1/3 times the base times the height, so the volumes are the same only if the area of the base times the height is the same in both cones.

Volume of a cone = 1/3*base area*height

Volume of a cone = 1/3*base area*height

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