Two cylindrical containers are shown. Container A has a radius r and a height of h and holds a maximum of 100 ounces of water. Container B has a radius of 4r and a height of 12h. What is the maximum amount of water that Container B can hold?
+426
\(V = πr^2h \\ 100 = πr^2h \\ 100 = π \, \times \, (r)^2 \, \times h \quad |\; \times 4^2 \\ 1\,600 = π \, \times \, (4r)^2 \, \times \, h \quad | \; \times 12 \\ 19\,200 = π \,\times\,(4r)^2\,\times\,12h\)
\(\therefore \tt Container \, B \, can \, hold \, 19 \,200 \, ounces \, of \, water.\)
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MWizard2k04 AKA MathW0122
Jan 22, 2004 is not my birthday!
