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A cone-shaped paper drinking cup is to hold 80 cm³ of water. Find the height and radius of the cup that will require the least amount of paper. NOTE: Enter the exact answers. Radius= cm Height= cin

A cone-shaped paper drinking cup is to hold 80 cm³ of water. Find the height and radius of the cup that will require the least amount of paper. NOTE: Enter the exact answers. Radius= cm Height= cin

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A cone-shaped paper drinking cup is to hold 80 cm³ of water. Find the height and radius of the cup that will require the least amount of paper. NOTE: Enter the ezact answers. Radius= cm Height= cin
Transcribed Image Text:A cone-shaped paper drinking cup is to hold 80 cm³ of water. Find the height and radius of the cup that will require the least amount of paper. NOTE: Enter the ezact answers. Radius= cm Height= cin
Use the fact that the area of the paper is given by A = trl = rryr2 + h? and the volume of the cup is given by V = r?h.
Transcribed Image Text:Use the fact that the area of the paper is given by A = trl = rryr2 + h? and the volume of the cup is given by V = r?h.
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