CALCULUS Understanding
Its Concepts and Methods
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
is
where
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.