16. As phosphate is mined, it moves along a conveyor belt, falling off of the end of the belt into the shape of a right circular cone, as shown. 15.3 feet 48.6 feet- A shorter conveyor belt also has phosphate falling off of the end into the shape of a right circular cone. The height of the second pile of phosphate is 3.6 feet shorter than the height of the first. The volume of both piles is the same. To the nearest tenth of a foot, what is the diameter of the second pile of phosphate?

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
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16. As phosphate is mined, it moves along a conveyor belt, falling off of the
end of the belt into the shape of a right circular cone, as shown.
15.3 feet
48.6 feet
A shorter conveyor belt also has phosphate falling off of the end into the
shape of a right circular cone. The height of the second pile of phosphate
is 3.6 feet shorter than the height of the first. The volume of both piles is
the same.
To the nearest tenth of a foot, what is the diameter of the second pile
of phosphate?
Transcribed Image Text:16. As phosphate is mined, it moves along a conveyor belt, falling off of the end of the belt into the shape of a right circular cone, as shown. 15.3 feet 48.6 feet A shorter conveyor belt also has phosphate falling off of the end into the shape of a right circular cone. The height of the second pile of phosphate is 3.6 feet shorter than the height of the first. The volume of both piles is the same. To the nearest tenth of a foot, what is the diameter of the second pile of phosphate?
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