Find the volume of the largest cone having its circular base circumscribed about a face of a recatangular parallelepiped of dimensions 2 feet by 3 feet by 4 feet and its vertex lying in the opposite face. Draw the figure
Find the volume of the largest cone having its circular base circumscribed about a face of a recatangular parallelepiped of dimensions 2 feet by 3 feet by 4 feet and its vertex lying in the opposite face. Draw the figure
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 16E: Find the total area surface area of a regular dodecahedron 12 faces if the area of each face is...
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Concept explainers
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
Question
Find the volume of the largest cone having its circular base circumscribed about a face of a recatangular parallelepiped of dimensions 2 feet by 3 feet by 4 feet and its vertex lying in the opposite face. Draw the figure.
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