My QuB Мy InsBb Reviev W Fir XMM MathvSy DefiniChainLoginf DerivaSy derivaabsolt O RecipPercerA webassign.net/web/Student/Assignment-Responses/last?dep=27716132Happ SendUSCISShop+.AppsMary Mary - I Wors...9 7-/0.5 Radio Lumiere - 97...G Google 9UpdateFree Internet Calls |-O Try other Globfone...Convert video onlineFMovies | Free Mov..thompson45301Free Online Video..7.DETAILSMY NOTESASK YOUR TEACHERA pencil cup with .a capacity of 35 in.3 is to be constructed in the shape of a right circular cylinder with an open top. If the material for the sides costs 27€/in.2 and the material for the base costs 38d/in., whatshould the radius of the base of the cup be to minimize the construction cost (in ¢)? Round your answer to two decimal places, if necessary.Let r and h (in in.) be the radius and height of the pencil cup, respectively.r =in.Complete the following parts.(a)Give a function f in the variable r for the quantity to be optimized.f(r) =cents(b)State the domain of this function. (Enter your answer using interval notation.)(c)Give the formula for h in terms of r.(d)To determine the optimal value of the function f, we need the critical numbers of-Select-vThese critical numbers are as follows. (Round your answers to two decimal places, if necessary.. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE..)(e)347 PM个

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(c) Glve the formula for h in terms of r.