Find The mass of a solid cone of platinum with a height of 21 cm and a diameter of 8 cm.

For this case we have that by definition, the density is given by:ρ =[tex]\frac {M} {V}[/tex]Where:M: It's the massV: It's the volumeThe volume of a solid cone is given by:[tex]V = \frac {1} {3} \pi * r ^ 2 * h[/tex]Where:A: It's the radioh: It's the heightSubstituting the data we have: [tex]V = \frac {1} {3} \pi * (4) ^ 2 * 21\\V = \frac {1} {3} \pi * 16 * 21\\V = 401.92 \ cm ^ 3[/tex]On the other hand, we have that by definition, the density of the platini is given by:[tex]21.45 \frac {g} {cm ^ 3}[/tex]Substituting in the initial formula, we look for the mass:[tex]M = 401.92 \ cm ^ 3 * 21.45 \frac {g} {cm ^ 3}\\M = 8621.184 \ g[/tex]ANswer:The mass of the platinum cone is 8621.2 grams.