WEBASSIGN DUE at 12:00 in the afternoon today HELP

Homework Statement

I have a problem that is urgent and due at 12 afternoon today. I will give you the problem and i dont know if you will get it or not in time. It deals with uncertainties in mass and volume to create a specific density with a new uncertainty. Here is the problem:

The radius of a solid sphere is measured to be (6.30 +or- 0.25 ) cm, and its mass is measured to be (1.80 +or- 0.01) kg. Determine the density of the sphere in kilograms per cubic meter and the uncertainty in the density. (Use the correct number of significant figures.)(4 for both answer and uncertainty)

([4sigfigs]_________ +or- [4sigfigs]_______) kg/m^3 note the change from cm to m

i have the first part correct with the exact first answer being 1718 kg/m^3 but entering 1.720 b/c of the multiplication.

Homework Equations

already know how to do the first part.

The Attempt at a Solution

have no idea what to do considering the cubing of the converted m from cm and how to deal with the mass as well

sorry if it was brief but i was in a hurry and im sure everyone can do the first part i just need to know the steps to the error bounds

Last edited:

Hootenanny
Staff Emeritus
Gold Member
Welcome to Physics Forums.

How do you normally account for errors when dividing two quantities?

well normally i would add them together but what do i do with the cubed and how do i account for it

Hootenanny
Staff Emeritus
Gold Member
well normally i would add them together but what do i do with the cubed and how do i account for it
Yes but how do you add them? You can't simply take their sum ...

do (4/3)*pi*(.0025)^3 then add the .01

Please just tell me the steps for this time i want to learn it but it is due in 20 minutes.
Please just write out the steps and then i can figure it out hopefully for now

Hootenanny
Staff Emeritus
Gold Member
do (4/3)*pi*(.0025)^3 then add the .01
I'm afraid that that's not right, in fact it's not even close. Have you been given any notes on error propagation? Now might be a good time to look through them.
Please just tell me the steps for this time i want to learn it but it is due in 20 minutes.
Please just write out the steps and then i can figure it out hopefully for now
That's not the way it works here. We don't do people's work for them.

ive looked at alot of stuff on the internet and no there were no notes in class and it is not described in this application in the book, but thanks for trying to help for now anyway, ill post later after my class to actually understand how this works

Hootenanny
Staff Emeritus