A cylindrical container for storing cylindrical radioactive waste is to be constructed from lead and have a thickness of 6 inches (see the...

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