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Storing Radioactive Waste A cylindrical container for storing radioactive waste is to be constructed from lead and have a thickness of 6 in. (see the accompanying figure). If the volume of the outside cylinder is to be 16? ft3, find the radius and the height (in ft) of the inside cylinder that will result in a container of maximum storage capacity. (Hint: Show that the storage capacity (inside volume in ft3) is given by

Storing Radioactive Waste A cylindrical container for storing radioactive waste is to be constructed from lead and have a thickness of 6 in. (see the accompanying figure). If the volume of the outside cylinder is to be 16? ft3, find the radius and the height (in ft) of the inside cylinder that will result in a container of maximum storage capacity. (Hint: Show that the storage capacity (inside volume in ft3) is given by

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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Storing Radioactive Waste

A cylindrical container for storing radioactive waste is to be constructed from lead and have a thickness of 6 in. (see the accompanying figure). If the volume of the outside cylinder is to be 16? ft3, find the radius and the height (in ft) of the inside cylinder that will result in a container of maximum storage capacity. (Hint: Show that the storage capacity (inside volume in ft3) is given by

 

16 (osrs)) V(r) = ar2 2 - 1 6 in. 6 in. 厂 ft h = ft
Transcribed Image Text:16 (osrs)) V(r) = ar2 2 - 1 6 in. 6 in. 厂 ft h = ft
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