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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter25: Achievement Review—section Two
Section: Chapter Questions
Problem 5AR: Express these ratios in lowest fractional form. 5. 21ft:33ft
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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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