(Section 1.6: Combining Functions) 1.6.16 • Find the domain. We may rewrite Vas fr(), or even Vr. r, the base radius of the water cone, can be anything from 0 meters (a degenerate casecorresponding to no water at all) to 5 meters, the base radius of the tank (corresponding to a full tank). If V=, then Domf=0, 5±²³´. Units (m) aren’t written here. Answer: V=23±r3on 0, 5±²³´. • Note: We can also express Vas a function of hon 0,10±²³´. We solve the constraint equation for rand express ras a function of h. h=2rr=h2We then make the substitution r=h2±²³´µ¶into V=13r2h. V=13h2²³´µ¶·2hV=13h
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