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

Question

asked Nov 25, 2020 137k views

1 Answer

Mattbornski · Answer 1 · 2020-11-30T14:38:18+0000

For this case we have that by definition, the density is given by:

ρ =
$\frac {M} {V}$

Where:

M: It's the mass

V: It's the volume

The volume of a solid cone is given by:

$V = \frac {1} {3} \pi * r ^ 2 * h$

Where:

A: It's the radio

h: It's the height

Substituting the data we have:

$V = \frac {1} {3} \pi * (4) ^ 2 * 21\\V = \frac {1} {3} \pi * 16 * 21\\V = 401.92 \ cm ^ 3$

On the other hand, we have that by definition, the density of the platini is given by:

$21.45 \frac {g} {cm ^ 3}$

Substituting in the initial formula, we look for the mass:

$M = 401.92 \ cm ^ 3 * 21.45 \frac {g} {cm ^ 3}\\M = 8621.184 \ g$

ANswer:

The mass of the platinum cone is 8621.2 grams.