The volume of an irregularly shaped solid can be determined from the volume of water it displaces. A graduated cylinder contains 19.9mL of water. When a small piece of galena is added, it sinks and the volume increases to 24.5mL. What is the volume of the piece of galena in cm^3 and in L? Thank you!
To determine the volume of the piece of galena, we need to calculate the difference in volume before and after adding it to the graduated cylinder.
The initial volume of water in the graduated cylinder is 19.9 mL, and after adding the galena, it increases to 24.5 mL. Therefore, the volume of the galena can be calculated as the difference between these two volumes.
Volume of galena = Final volume - Initial volume
Volume of galena = 24.5 mL - 19.9 mL
Volume of galena = 4.6 mL
Now, let's convert this volume to cm^3 and L.
1 mL is equivalent to 1 cm^3, so the volume of galena in cm^3 is 4.6 cm^3.
To convert mL to L, divide the volume in mL by 1000:
Volume of galena in L = 4.6 mL / 1000 = 0.0046 L
Therefore, the volume of the piece of galena is 4.6 cm^3 and 0.0046 L.
To find the volume of the galena, we can subtract the initial volume of water in the graduated cylinder from the final volume when the galena was added. Here's how to do it:
1. Calculate the volume of the galena in mL:
Volume of galena = Final volume - Initial volume
Volume of galena = 24.5 mL - 19.9 mL
Volume of galena = 4.6 mL
2. Convert the volume of galena from mL to cm³:
Since 1 mL is equal to 1 cm³, the volume of the galena in cm³ is the same as its volume in mL.
Volume of galena in cm³ = 4.6 cm³
3. Convert the volume of galena from cm³ to L:
Since 1 L is equal to 1000 cm³, we can divide the volume of galena in cm³ by 1000 to get the volume in L.
Volume of galena in L = 4.6 cm³ / 1000
Volume of galena in L = 0.0046 L
So, the volume of the piece of galena is 4.6 cm³ and 0.0046 L.