Help please 10 M Wed May 2599%webassign.netA pencil cup with a capacity of 33 in.3 is to be constructed in the shape of a right circular cylinder with an open top. If thematerial for the sides costs 29¢/in.2 and the material for the base costs 46¢/in.2, what should the radius of the base of the cup beto minimize the construction cost (in )?Let r and h (in in.) be the radius and height of the pencil cup, respectively.r =in. (Round your answer to two decimal places, if necessary.)Complete the following parts.(a)Give a function f in the variabler for the quantity to be optimized.1914f(r) = 46m² +centsr(b)State the domain of this function. (Enter your answer using interval notation.)(c)Give the formula for h in terms of r.33h =T(d)To determine the optimal value of the function f, we need the critical numbers of f'(e) These critical numbers are as follows. (Round your answer(s) to two decimal places, if necessary. If a critical number is anendpoint of the domain, do NOT include it in your answer. Enter your answers as a comma-separated list. If an answer does notexist, enter DNE.)r = 1.877Viewing Saved Work Revert to Last Response

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M Wed May 25 ... 99% webassign.net A pencil cup with a capacity of 33 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 29¢/in.2 and the material for the base costs 46¢/in.2, what should the radius of the base of the cup be to minimize the construction cost (in )? Letr and h (in in.) be the radius and height of the pencil cup, respectively. r = in. (Round your answer to two decimal places, if necessary.) Complete the following parts. (a) Give a function f in the variable r for the quantity to be optimized. 1914 f(r) = 46-2 + cents (b) State the domain of this function. (Enter your answer using interval notation.) (c) Give the formula for h in terms of r. 33 h = T (d) To determine the optimal value of the function f, we need the critical numbers of f (e) These critical numbers are as follows. (Round your answer(s) to two decimal places, if necessary. If a critical number is an endpoint of the domain, do NOT include it in your answer. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) r = 1.877

M Wed May 25 ... 99% webassign.net A pencil cup with a capacity of 33 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 29¢/in.2 and the material for the base costs 46¢/in.2, what should the radius of the base of the cup be to minimize the construction cost (in )? Letr and h (in in.) be the radius and height of the pencil cup, respectively. r = in. (Round your answer to two decimal places, if necessary.) Complete the following parts. (a) Give a function f in the variable r for the quantity to be optimized. 1914 f(r) = 46-2 + cents (b) State the domain of this function. (Enter your answer using interval notation.) (c) Give the formula for h in terms of r. 33 h = T (d) To determine the optimal value of the function f, we need the critical numbers of f (e) These critical numbers are as follows. (Round your answer(s) to two decimal places, if necessary. If a critical number is an endpoint of the domain, do NOT include it in your answer. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) r = 1.877

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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