In the diagram, the cylinder and the hexagonal prism have the same height, h = 12 centimeters, and any horizontal cross sections at the same height have equal area.

Elementary Geometry for College Students
6th Edition
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Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 46E
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In the diagram, the cylinder and the hexagonal prism have the same height, h = 12 centimeters, and
any horizontal cross sections at the same height have equal area.
h.
Use Cavalieri's principle to calculate the approximate radius of the cylinder, r, if the volume of the
hexagonal prism is 280.8 cubic centimeters.
Round your answer to the nearest hundredth (2 decimal places).
cm
Transcribed Image Text:In the diagram, the cylinder and the hexagonal prism have the same height, h = 12 centimeters, and any horizontal cross sections at the same height have equal area. h. Use Cavalieri's principle to calculate the approximate radius of the cylinder, r, if the volume of the hexagonal prism is 280.8 cubic centimeters. Round your answer to the nearest hundredth (2 decimal places). cm
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