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 byr= ____ fth= ____ ft 16(osrs))2 - 1V(r) = ar6 in.-r-h6 in.

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Answered: 16 (osrs)) 2 - 1 V(r) = ar 6 in. -r- h…

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 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

r= ____ ft

h= ____ ft