# A 147-g piece of metal has density of 7.00 g/mL. A 50-mL graduated cylinder contains 20.0 mL of water. What is the final volume after the metal is added to the graduated cylinder?

Nov 26, 2016

The final volume in the cylinder will be $\text{41.0 mL}$.

#### Explanation:

Use the density formula to determine the volume of the piece of metal.

$\text{density"="mass"/"volume}$

Rearrange the equation to isolate volume.

$\text{volume" ="mass"/"density}$

$\text{volume"=(147 cancel"g")/(7.00cancel"g"/"mL")="21.0 mL}$

The final volume in the cylinder after adding the piece of metal is

$\text{20.0 mL"+"21.0 mL"="41.0 mL}$