Asmall, metallic, solid cyllinder made of gold, has a radius of 2.00mm and a length of 3.00cm. the number of free electrons in each atom of gold is le (electrons in the conducting band.) the density of gold is 8.96 %㎡ and the molar mass of gold is 63.55 %01. use scientific notation for all of your answers. (1) (10 points) find the volume and the mass of the cyllinder, in s. i. units. (ii) (10 points) find the number of moles of gold and the number of gold atoms in the cyllinder. (iii) (10 points) find the maximum electric charge this material could have, if all the conduction electrons were to be removed, in s. i. units.