Mathematics: Arock weighing 15.0 g is placed in a graduated cylinder, displacing the volume from 25.0 ml to 36.2 ml. what is the density of the rock in grams/cubic centimeter?

Arock weighing 15.0 g is placed in a graduated

kkruvc

10.03.2022

$1.38\frac{g}{cm^3}$

Step-by-step explanation:

You need to remember the formula for calculate the density:

$density=\frac{mass}{volume}$

In this case:

$density_{(rock)}=\frac{mass_{(rock)}}{Volume_{(rock)}}$

You know that:

$mass_{(rock)}=15.5g$

And when it is placed in a graduated cylinder, the volume is displaced from 25.0 mL to 36.2 mL.

Then, the volume of the rock is:

$Volume_{(rock)}=36.2mL-25.0mL=11.2mL$

Since 1mL=1cm^3 , you can rewrite the volume as:

$Volume_{(rock)}=11.2cm^3$

Substituting values into the formula, you get that the density of the rock is:

$density_{(rock)}=\frac{15.5g}{11.2cm^3}=1.38\frac{g}{cm^3}$

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