A stone bridge has three equal semicircular arches resting on four equal rectangular piers. The radius of each arch is R, the dimensions of the piers L, W, H, while the distance from the top of each pier to the top of the bridge is D. If L = 50ft., W = 5 ft., H = 10 ft., R = 6 ft., D = 12 %3D ft., find the volume of material used in building the bridge. R. W W W W

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
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A stone bridge has three equal
semicircular arches resting on four
equal rectangular piers. The radius
of each arch is R, the dimensions of
the piers L, W, H, while the
distance from the top of each pier to
the top of the bridge is D. If L = 50ft.,
W = 5 ft., H = 10 ft., R = 6 ft., D = 12
%3D
ft., find the volume of material used
in building the bridge.
R.
H
W
W
W
W
Transcribed Image Text:A stone bridge has three equal semicircular arches resting on four equal rectangular piers. The radius of each arch is R, the dimensions of the piers L, W, H, while the distance from the top of each pier to the top of the bridge is D. If L = 50ft., W = 5 ft., H = 10 ft., R = 6 ft., D = 12 %3D ft., find the volume of material used in building the bridge. R. H W W W W
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