A cylindrical container needs to be manufactured so that its volume is precisely 27 cm. Find the optimal radius r and height h of the cylindrical container that minimises the total surface area. (Note: a cylinder of radius r and height h has volume V = rh, and total surface area A = 2 +2arh.) Or =V cm and k = cm O r= cm and h = cm 2m = cm and h= cm 12 cm E cm andh= O None of the other options.
A cylindrical container needs to be manufactured so that its volume is precisely 27 cm. Find the optimal radius r and height h of the cylindrical container that minimises the total surface area. (Note: a cylinder of radius r and height h has volume V = rh, and total surface area A = 2 +2arh.) Or =V cm and k = cm O r= cm and h = cm 2m = cm and h= cm 12 cm E cm andh= O None of the other options.
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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Transcribed Image Text:A cylindrical container needs to be manufactured so that its volume is precisely 27 cm. Find the optimal radius r and height h of the cylindrical container that minimises the total surface area. (Note: a
Cylinder of radius r and height h has volume V = h, and total surface area A = 27? +2arh.)
9 V3
r = cm and k= cm
3 V3
O r = cm and k = - cm
3E cm and h = = cm
- cm and h =
12
cm
O None of the other options.
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