A cylindrical can, open at the top, is to hold 200 cm³ of liquid. Find the height, h, and the radius, r, that minimize the amount of material needed to manufacture the can.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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A cylindrical can, open at the top, is to hold 200 cm³ of liquid.
Find the height, h, and the radius, r, that minimize the amount
of material needed to manufacture the can.
NOTE: Enter the exact answers.
h =
cm
r =
cm
Transcribed Image Text:A cylindrical can, open at the top, is to hold 200 cm³ of liquid. Find the height, h, and the radius, r, that minimize the amount of material needed to manufacture the can. NOTE: Enter the exact answers. h = cm r = cm
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