A frustum of a regular triangular pyramid is inscribed in a frustum of a cone whose height and slant height are 12 and 13 respectively. Find the volume of the frustum of the pyramid if the volume and total area of the frustum of the cone are 388n and 216n, respectively. Draw the frustums.

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
Section9.1: Prisms, Area And Volume
Problem 16E: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and...
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A frustum of a regular triangular pyramid is inscribed in a frustum of a cone whose height and slant
height are 12 and 13 respectively. Find the volume of the frustum of the pyramid if the volume and
total area of the frustum of the cone are 388n and 216n, respectively. Draw the frustums.
Transcribed Image Text:A frustum of a regular triangular pyramid is inscribed in a frustum of a cone whose height and slant height are 12 and 13 respectively. Find the volume of the frustum of the pyramid if the volume and total area of the frustum of the cone are 388n and 216n, respectively. Draw the frustums.
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