MA102 - Mathematics for Science Semester II, 2015 Assignment 2 Total Marks: [20 marks] Question 1 Based on data from the U. Census Bureau, the chief...

A cylindrical container for storing cylindrical radioactive waste is to be constructed from lead and have athickness of 6 inches (see the accompanying figure). If the volume of the outside cylinder is to be 3 16 ft ,find the radius and the height of the inside cylinder that will result in a container of maximum storagecapacity.hr 6 in6 inHint: Show that the storage capacity (inside volume) is given by 221216 7( ) 1 02V r r rr