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A manufacturing company want to produce a closed cylindrical container with a minimum surface area (S) and volume of 0.002 m³. It is given that the height of the cylinder is h meters and the base radius r meters. (i) (ii) Show that the surface area of the container (S) is given by S = (2πr² + 2507) m² r Find the value of r in millimetres

A manufacturing company want to produce a closed cylindrical container with a minimum surface area (S) and volume of 0.002 m³. It is given that the height of the cylinder is h meters and the base radius r meters. (i) (ii) Show that the surface area of the container (S) is given by S = (2πr² + 2507) m² r Find the value of r in millimetres

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 manufacturing company want to produce a closed cylindrical container with a minimum surface area (S) and volume of 0.002 m³. It is given that the height of the cylinder is h meters and the base radius r meters. (i) (ii) Show that the surface area of the container (S) is given by S = (2πr² + m² π 250 r Find the value of r in millimetres
Transcribed Image Text:A manufacturing company want to produce a closed cylindrical container with a minimum surface area (S) and volume of 0.002 m³. It is given that the height of the cylinder is h meters and the base radius r meters. (i) (ii) Show that the surface area of the container (S) is given by S = (2πr² + m² π 250 r Find the value of r in millimetres
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