A student is given a crucible and asked to prove whether it is made of pure
platinum. She first weighs the crucible in air and then weighs it suspended in
water (density \(=0.9986 \mathrm{~g} / \mathrm{mL}\) ). The readings are \(860.2
\mathrm{~g}\) and \(820.2 \mathrm{~g},\) respectively. Based on these
measurements and given that the density of platinum is \(21.45 \mathrm{~g} /
\mathrm{cm}^{3},\) what should her conclusion be? (Hint: An object suspended in
a fluid is buoyed up by the mass of the fluid displaced by the object. Neglect
the buoyance of air.)