The perimeter of a rectangle is fixed to 12 units. The rectangle is rolled into a cylinder by gluing two opposite edges of the rectangle. What is the largest volume that can be obtained for the cylinder in this manner? 4π 8T 4 π 100 8 π 32π

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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The perimeter of a rectangle is fixed to 12 units. The rectangle is rolled into a
cylinder by gluing two opposite edges of the rectangle. What is the largest volume
that can be obtained for the cylinder in this manner?
4π
8TT
4
π
8
π
32π
Transcribed Image Text:The perimeter of a rectangle is fixed to 12 units. The rectangle is rolled into a cylinder by gluing two opposite edges of the rectangle. What is the largest volume that can be obtained for the cylinder in this manner? 4π 8TT 4 π 8 π 32π
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