PLEASE HELP Unit conversion (Volume, Mass, Density)

I calculated that the cylinder has a volume of 1.380 x 10^7 cm^3 (13804774.5 cm^2) using the pi x r^2 x h formula. But what next?"In summary, the conversation discusses the volume and mass of water in a cylindrical swimming pool. It is determined that the volume of the pool is 1.380 x 10^7 cm^3, and that the mass of water is numerically identical to the volume in this case. The formula for calculating mass is also mentioned.
  • #1
Amil
9
0
My first week of class and I'm just tied up with this problem. I must be missing something.
Question:
A cylindrical swimming pool is 132 cm high and 365 cm in diameter. What will be the volume (in liters) of water necessary to fill this pool, knowing that one cubic decimeter is equal to one liter? Supposing that the desity of water is 1.0g/cm3, what will be the mass of water in this pool?

I calculated that the cylinder has a volume of 1.380 x 10^7 cm^3 (13804774.5 cm^2) using the pi x r^2 x h formula. But what next?

Thanks in advance for any help. I really need to understand how to convert these types of units.

AMIL
 
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  • #2
1000 cubic cm = 1 liter, so your volume is 1.380 x 104 liters. Mass in grams = volume in cubic cm.
 
  • #3
mathman said:
Mass in grams = volume in cubic cm.
More generally, mass = density * volume.

In the case of water, when mass is in grams and volume is in cm^3, the mass and volume are numerically identical, because water has a density of one gram per cubic centimeter. In general, however, you have to be careful.

- Warren
 

FAQ: PLEASE HELP Unit conversion (Volume, Mass, Density)

What is unit conversion?

Unit conversion is the process of converting a quantity from one unit to another. This is often necessary when dealing with measurements or data from different systems, such as converting from US customary units to metric units.

Why is unit conversion important in science?

Unit conversion is important in science because it allows for consistent and accurate comparisons and calculations between different units of measurement. It also allows for data to be standardized and easily understood by scientists from all over the world.

How do I convert units of volume, mass, and density?

To convert units of volume, mass, and density, you will need to use a conversion factor. This is a numerical value that relates one unit to another. You can then multiply or divide your original value by the conversion factor to get the desired unit.

What are some common conversion factors for volume, mass, and density?

Some common conversion factors for volume, mass, and density include 1 liter = 1000 milliliters for volume, 1 kilogram = 1000 grams for mass, and 1 gram/cm3 = 1 kilogram/m3 for density. However, the specific conversion factor may vary depending on the units being converted.

Are there any tools or resources available for unit conversion?

Yes, there are many tools and resources available for unit conversion. These include online unit converters, conversion charts, and conversion calculators. It is important to double check the accuracy of any tool or resource being used to ensure the correct conversion.

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