I have 2 problems that I'm wondering if they're right or not... Thanks for the help.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

10) What is the area, and its approximate uncertainty, of a circle of radius 3.8 x 10^{4}cm?

2. Relevant equations

A=πr^{2}

3. The attempt at a solution

A=π38000^{2}

A=4536459792cm^{2}

Then, I did the same thing with 37999 (the uncertainty is [tex]\pm[/tex] 1) to find the difference in the area to be 238758.

[tex]238758/4536459792[/tex] x 100% = .0053% uncertainty.

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1. The problem statement, all variables and given/known data

11) What, roughly, is the percent uncertainty in the volume of a spherical beach ball whose radius is r=2.86[tex]\pm[/tex]0.09m?

2. Relevant equations

A=[tex]4/3[/tex]πr^{3}

3. The attempt at a solution

A=[tex]4/3[/tex]π2.86^{3}

A=97.99m^{3}

I then did the same thing with 2.77 to get that area to be 89.03m^{3}.

97.99-89.03=8.96

[tex]8.96/97.99[/tex]x100%=9% uncertainty.

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# Homework Help: Percent Uncertainty

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