How do you calculate the uncertainty of the volume of a sphere?

The volume of a sphere includes a cube of the radius, so in such a case the uncertainty is three times. Therefore, the percentage uncertainty in the volume of a sphere is 1.53\% . Therefore, the volume of the sphere is 31.5±0.5 m3 31.5 ± 0.5 m 3 .

How do you find the percent error of a radius of a sphere?

As volume of sphere is V=43πR3, then we can write it in the form of percentage error i.e. ΔVV×100=3(ΔRR×100), on substituting the values we will get the desired result. We have to find the value of the error in the measurement of the volume of the sphere.

What would be the error in the volume of the sphere?

Here we will use the formulae of volume of sphere to solve this question and we know that volume of sphere = 43πr3 , from this formula we can clearly observe that v is directly proportional to r. Hence, the error in volume of the sphere will be 9\% .

What is the uncertainty in the volume of the sphere in cm3?

We are finally able to say that the volume of the sphere is measured to be 39.35cm3 ± 0.56cm3. Sometimes this is written 39.35 ± 0.56cm3. With every measurement, however, there is an associated uncertainty. Because a Vernier caliper was used here, the uncertainty in the radius measurement is ± 0.01cm.

What is the percentage error in the value of the density of a copper cube if the errors in the measurement of its mass and the length of one side are 3\% and 4\% respectively?

The density and mass ranges from the volume of a cube taken with right percent of error in measuring. This is necessary for taking right one and maximum error in the measurement has been placed in the mass and length of a cube is 2\% and 3\% respectively. Therefore, the final answer is 4\% maximum percentage uncertainty.

What will be the approximate percentage of error in the volume V of a sphere if the error in the measurement of its surface area is 1\%?

So error in volume of the sphere due to error in measured value of r = 6\%.

How do you calculate uncertainty in statistics?

How to Calculate

1. Subtract the value of x by the mean (i.e. average) of x.
2. Square the result of step 1.
3. Subtract the value of y by the mean (i.e. average) of y.
4. Square the result of step 3.
5. Multiply the result of step 2 by the result of step 4.
6. Repeat steps 1 through 5 for each value of x and y in the sample set.

How do you find the radius of a sphere if you know the volume?

What’s the radius of a sphere formula?

1. Given diameter: r = d / 2 ,
2. Given area: r = √[A / (4 * π)] ,
3. Given volume: r = ³√[3 * V / (4 * π)] ,
4. Given surface to volume ratio: r = 3 / (A/V) .