Suppose you buy a right circular cone shaped metal thinking that it is gold. When you arrive at home you realize that it could be fool's gold (Iron Pyrite). To determine the nature of the mineral, you decide to measure the mass and the dimensions of the metal, which turnout to be 9.84 g, a diameter 17 mm and a height of 15 mm.
(a) What is the density of this metal?
(b) What kind of metal is this?