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 246
depth that the water would havebeen in the cylinder. PROBLEM 461. If a hole 12 in. in diameter be made through the center of a spherewhose diameter is 20 in., how many cu. in. of the sphere will be con-sumed? Solution. (1) Let EDMS be the sphere, and EFMSbethe cylinder made bythe auger. (2) Then… … 232 FAIRCHIL&S SOLUTION BOOK. of the auger hole. (5) PK=the diameter of the small sphere. (6) KO=V(S02—SK2), or 8 in. (7) PK=PO—KO=2 in. (8) The volume of half the cylinder SMYZ=|(SK27rX KP) = 36tt. (9) The volume of the small sphere PK=PK3 X-=^. o (10) (36ir+y\X2=^1^=234.5728 cu. in.=volume of…
Arithmetic · Geometry
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