A complete and practical solution book for the common school teacher (1899)
Fairchild, J[ohn] T[heodore] [from old catalog] · Crawfis College, Ohio, The author · leaf 241
aximum. (11) Hence, the altitude of the maximum cylinder is J of the cone. (12) The second value of x in (2) gives V = —-(a—£#)q= (13) Volume of the cone = ^7r#£2. (14) .*. Volume of cylinder=| volume of cone. (15) y — ~{a—Jtf)=f£=radius of base of cylinder. (16) From the above the required result… … another cylinder is cut, of the same length as the former and the thick-est possible: how much of the volume of the original cone is cut away? Sohition. (1) Let ABC represent the cone, and SKDE and FETP thecylinders. (2) AO = 30in., OC=5in., LD = 3 in. (3) COA and DLA are similar triangles. (4) We…
Arithmetic · Geometry
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