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3. A container in the shape of a right circular cylinder with no top has surface area 3n ft2. What height h and base radius r will maximize the volume of the cylinder?

3. A container in the shape of a right circular cylinder with no top has surface area 3n ft2. What height h and base radius r will maximize the volume of the cylinder?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Activity 2. Let's Optimize! Directions: Solve the problems below. Show your complete solutions. 1. An open-top box is to be made from a 24 in. by 36 in. piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. What is the maximum volume of the box? 2. If 1000 cm2 of cardboard is available to make a box with a square base, find the largest possible volume of the box. 3. A container in the shape of a right circular cylinder with no top has surface area 3n ft2. What height h and base radius r will maximize the volume of the cylinder?
Transcribed Image Text:Activity 2. Let's Optimize! Directions: Solve the problems below. Show your complete solutions. 1. An open-top box is to be made from a 24 in. by 36 in. piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. What is the maximum volume of the box? 2. If 1000 cm2 of cardboard is available to make a box with a square base, find the largest possible volume of the box. 3. A container in the shape of a right circular cylinder with no top has surface area 3n ft2. What height h and base radius r will maximize the volume of the cylinder?
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