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 236
fk;. in PROBLEM 441 What is the edge of the largest cube that can be cut from a hemi-sphere 20 in. in diameter? Solution. (1) Let ALB be the hemi- sphere, and DE the in-scribed cube. (2) ES = ;r, the e6ge of the cube. (3) SP=OP: +*• °r 2 (4) OF = 10 in., ESO is a right triangle. (5) 0?2 = OP2+SP2.… … FIG. 111. FAIRCHILDS SOLUTION BOOK. (7) *2-H^2 = OE2, or 102. (8) ,r=8.1649 in. .-. 8.1649 in. is the edge of the cube. PROBLEM 442. A tin vessel having- a circular mouth 9 in. in diameter, a bottom4^ in. in diameter, and a depth of 10 in., is \ part full of water: whatis the diameter of a ball…
Arithmetic · Geometry
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