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Bunker Hill Monument is a stone structure in the form of the frustum of a regular square pyramid whose height is 220 ft. and whose base edges are 15 ft. and 30 ft., respectively. Through the center of the monument is a cylindrical opening 11 ft. in diameter at the top and 15 ft. in diameter at the bottom. Find the volume of stone in the monument.

Bunker Hill Monument is a stone structure in the form of the frustum of a regular square pyramid whose height is 220 ft. and whose base edges are 15 ft. and 30 ft., respectively. Through the center of the monument is a cylindrical opening 11 ft. in diameter at the top and 15 ft. in diameter at the bottom. Find the volume of stone in the monument.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Bunker Hill Monument is a stone structure in the form of the frustum of a regular square pyramid whose height is 220 ft. and whose base edges are 15 ft. and 30 ft., respectively. Through the center of the monument is a cylindrical opening 11 ft. in diameter at the top and 15 ft. in diameter at the bottom. Find the volume of stone in the monument. If in the frustum of a cone the diameter of the upper base equals the slant height, find the lateral area (a) if the altitude is 4 in. and the perimeter of a vertical section through the axis is 26 in.; (b) if the altitude is 7.2 in. and the perimeter is 39.2 in.
Transcribed Image Text:Bunker Hill Monument is a stone structure in the form of the frustum of a regular square pyramid whose height is 220 ft. and whose base edges are 15 ft. and 30 ft., respectively. Through the center of the monument is a cylindrical opening 11 ft. in diameter at the top and 15 ft. in diameter at the bottom. Find the volume of stone in the monument. If in the frustum of a cone the diameter of the upper base equals the slant height, find the lateral area (a) if the altitude is 4 in. and the perimeter of a vertical section through the axis is 26 in.; (b) if the altitude is 7.2 in. and the perimeter is 39.2 in.
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