Finding density of a sphere and percentage error

In summary, the conversation discusses the density of a sphere with a diameter of 4 cm and a mass of 1.35 grams. The percent error is calculated by subtracting the actual density (7.87 g/mL) from the calculated density (0.040 g/cm^3) and dividing by the actual density, multiplied by 100. The resulting percent error is -99.50%.
  • #1
theherowithin
1
0
1. What is the Density in g / mL of a sphere with a diameter of 4 cm and a mass of 1.35 grams?

What is the percent error if the actual density of the sphere was 7.87 g / mL?



2.Volume= 4/3 x pie x r cubed
Density= mass/volume
percentage error= result minus accepted divided by acceptd multiplied by 100

3. 4/3 x pie x 2 (cubed) =33.510
1.35/33.510= .040
.040-7.87/7.87 x 100= -99.50
 
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  • #2
Carry the units through in your calculation to make sure they match the desired units, in this case you will want to end up with a density expressed in g/mL. Notice that the units you end up with in your calculation for density is g/cm^3. Hope this helps.
 

1. What is the formula for finding the density of a sphere?

The formula for finding the density of a sphere is density = mass / (4/3 * pi * radius^3). This formula takes into account the mass and volume of the sphere to determine its density.

2. How do you measure the mass and radius of a sphere?

The mass of a sphere can be measured using a scale or balance, while the radius can be measured using a ruler or caliper. It is important to ensure that the measurements are accurate for an accurate calculation of density.

3. What is the unit of measurement for density?

The unit of measurement for density is typically grams per cubic centimeter (g/cm^3). However, it can also be expressed in other units such as kilograms per cubic meter (kg/m^3) or pounds per cubic inch (lb/in^3).

4. How do you calculate percentage error for finding density of a sphere?

Percentage error can be calculated by subtracting the experimental value from the accepted value, dividing that by the accepted value, and then multiplying by 100%. In the case of finding density of a sphere, the accepted value would be the true density of the material and the experimental value would be the calculated density using the measured mass and radius.

5. What are some sources of error when finding the density of a sphere?

Some sources of error when finding the density of a sphere can include inaccurate measurements of mass and radius, variations in the density of the material, and experimental errors such as air bubbles or spills during measurement. It is important to take multiple measurements and use precise equipment to minimize these sources of error.

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