If the radius is 0.75 and the uncertainty in the radius is, say, 0.005, then Δr/r = 0.005/0.75 = 0.67%. Then the uncertainty in the volume of the sphere would be 3 times this i.e. 2%.
omg thank you very much,, now i understand it really helpful :') Btw how would you do the percentage uncertainty for density in terms of the mass/volume?
If the radius is 0.75 and the uncertainty in the radius is, say, 0.005, then Δr/r = 0.005/0.75 = 0.67%. Then the uncertainty in the volume of the sphere would be 3 times this i.e. 2%.
This is a very useful publication from the Scottish Schools Education Research Centre. It outlines lots of different types of uncertainties and how to combine them. https://blogs.glowscotland.org.uk/ea/scienceresources/files/2016/05/AH-Uncertainties-Summary-Notes-2015.pdf On pages 12 to 15 it shows you how to combine uncertainties and page 15 shows you how to deal with when you multiply and/or divide values. Hope this helps.
This is a very useful publication from the Scottish Schools Education Research Centre. It outlines lots of different types of uncertainties and how to combine them. https://blogs.glowscotland.org.uk/ea/scienceresources/files/2016/05/AH-Uncertainties-Summary-Notes-2015.pdf On pages 12 to 15 it shows you how to combine uncertainties and page 15 shows you how to deal with when you multiply and/or divide values. Hope this helps.