CALCULUS Understanding Its Concepts and Methods

Cone, tetrahedron, frustum of a cone

A cone
is generated by a line through a fixed point above the *xy*-plane as the line moves
about a closed curve in the * xy*-plane.
The base is the region bounded by
the closed curve. The height is
the *z*-coordinate of
the fixed point.

The volume
of a cone iswhere *A* is the area of the base
and *h* is the height of
the cone.

If the closed curve is a circle and the fixed point is directly above the center of the circle, then the cone is a right circular cone.

A pyramid is a cone with a square base.

A tetrahedron is a cone with a triangular base.

A frustum is the part of a cone between two parallel planes.

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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.