{ "key_pair_value_system": true, "answer_rating_count": "", "question_feedback_html": { "html_star": "", "html_star_feedback": "" }, "answer_average_rating_value": "", "answer_date_js": "2024-06-28T09:11:40-04:00", "answer_date": "2024-06-28 09:11:40", "is_docs_available": null, "is_excel_available": null, "is_pdf_available": null, "count_file_available": 0, "main_page": "student_question_view", "question_id": "4280532", "url": "\/study-help\/questions\/a-microwaveable-cupofsoup-package-needs-to-be-constructed-in-the-4280532", "question_creation_date_js": "2024-06-28T09:11:40-04:00", "question_creation_date": "Jun 28, 2024 09:11 AM", "meta_title": "[Solved] A microwaveable cup-of-soup package needs | SolutionInn", "meta_description": "Answer of - A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 500 cubic centimeters of | SolutionInn", "meta_keywords": "microwaveable,cup--soup,package,constructed,shape,cylinder,hold,500,cubic,centimeters,soup,sides", "question_title_h1": "A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 500 cubic centimeters of soup. The sides and bottom of", "question_title": "A microwaveable cup-of-soup package needs to be constructed in the shape of", "question_title_for_js_snippet": "A microwaveable cup of soup package needs to be constructed in the shape of cylinder to hold 500 cubic centimeters of soup The sides and bottom of the container will be made of syrofoam costing 0 02 cents per square centimeter The top will be made of glued paper, costing 0 05 cents per square centimeter Find the dimensions for the package that will minimize production cost Helpful information h height of cylinder, r radius of cylinder Volume of a cylinder V Trzh Area of the sides A 2rrh Area of the top bottom A Trz To minimize the cost of the package Radius cm Height cm Minimum cost cents", "question_description": "

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\"image<\/div><\/div><\/div> A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 500 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.05 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h : height of cylinder, r : radius of cylinder Volume of a cylinder: V = Trzh Area of the sides: A = 2rrh Area of the top\/bottom: A = Trz To minimize the cost of the package: Radius: cm Height: cm Minimum cost: cents", "transcribed_text": "", "related_book": { "title": "Fundamentals Of Statistics", "isbn": "978-032184460, 032183870X, 321844602, 9780321838704, 978-0321844606", "edition": "4th Edition", "authors": "Michael Sullivan III", "cover_image": "https:\/\/dsd5zvtm8ll6.cloudfront.net\/si.question.images\/book_images\/445.jpg", "uri": "\/textbooks\/fundamentals-of-statistics-4th-edition-445", "see_more_uri": "" }, "free_related_book": { "isbn": "B005M4M98U", "uri": "\/textbooks\/the-believers-how-america-fell-for-bernard-madoffs-50-billion-investment-scam-1st-edition-b005m4m98u-304280", "name": "The Believers How America Fell For Bernard Madoffs $50 Billion Investment Scam", "edition": "1st Edition" }, "question_posted": "2024-06-28 09:11:40", "see_more_questions_link": "\/study-help\/questions\/sciences-biology-2023-February-20", "step_by_step_answer": "The Answer is in the image, click to view ...", "students_also_viewed": [ { "url": "\/find-the-maturity-date-of-the-following-a-120day-note", "description": "Find the maturity date of the following: a. 120-day note dated May 9. b. 75-day note dated November 9.", "stars": 3 }, { "url": "\/study-help\/theory-of-probability\/satellites-are-launched-according-to-a-poisson-process-with-rate-1982915", "description": "Satellites are launched according to a Poisson process with rate . 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