mass of empty cylinder is 87.470g

97.470g w/10mL of water
107.470g + 10mL of water
117.470g + 10 more mL of water

need to know the total volume of water (in mL or cm3)
total mass of water
density of water
calculate the average of the 3 densities of water.

Isn't the total volume 10 mL from the first sample, 10 more from the second sample, and 10 more for the third sample, for a total of 30 mL?

Isn't the total mass the final weighing of 117.470-the initial weighing of 87.470?

density = mass/volume?

You can calculate individual volumes, masses, and densities from the values for mass and volume of each sample.

To find the answers to the given questions, we can follow these steps:

1. Total Volume of Water:
The total volume of water can be calculated by subtracting the mass of the empty cylinder from each subsequent measurement:
Volume of water in first measurement: 97.470g - 87.470g = 10mL
Volume of water in second measurement: 107.470g - 87.470g = 20mL
Volume of water in third measurement: 117.470g - 87.470g = 30mL

Therefore, the total volume of water is 10mL + 20mL + 30mL = 60mL or 60cm^3.

2. Total Mass of Water:
The total mass of water can be calculated by subtracting the mass of the empty cylinder from each subsequent measurement:
Mass of water in first measurement: 97.470g - 87.470g = 10g
Mass of water in second measurement: 107.470g - 87.470g = 20g
Mass of water in third measurement: 117.470g - 87.470g = 30g

Therefore, the total mass of water is 10g + 20g + 30g = 60g.

3. Density of Water:
The density of water can be calculated by dividing the mass of water by the volume of water for each measurement.
Density of water in first measurement: 10g / 10mL = 1g/mL or 1g/cm^3
Density of water in second measurement: 20g / 20mL = 1g/mL or 1g/cm^3
Density of water in third measurement: 30g / 30mL = 1g/mL or 1g/cm^3

Therefore, the density of water is consistently 1g/mL or 1g/cm^3.

4. Average Density of Water:
To calculate the average density of water, we add up the three density values and divide by 3:
Average density = (1g/mL + 1g/mL + 1g/mL) / 3 = 3g/mL / 3 = 1g/mL or 1g/cm^3

Therefore, the average density of water is 1g/mL or 1g/cm^3.