For this case we have that by definition, the density is given by:
ρ =[tex]\frac {M} {V}[/tex]
Where:
M: It's the mass
V: It's the volume
The volume of a solid cone is given by:
[tex]V = \frac {1} {3} \pi * r ^ 2 * h[/tex]
Where:
A: It's the radio
h: It's the height
Substituting 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.
