A lead pencil whose ends are regular hexagons was cut from a cylindrical piece of wood, with the least waste. If the original piece was 8 in. long and 0.5in. in diameter, find the volume of the pencil.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.CT: Test
Problem 13CT: The exact volume of a right circular cone not shown is 32in3. If the length of the base radius is 4...
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A lead pencil whose ends are regular hexagons
was cut from a cylindrical piece of wood, with the
least waste. If the original piece was 8 in. long and
0.5in. in diameter, find the volume of the pencil.

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