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lep11

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## Homework Statement

As you eat your way through a bag of chocolate chip cookies, you observe that each cookie is a circular disk with a diameter of 8.50 ± 0.02 cm and a thickness of 0.050 ± 0.005 cm. (a) Find the average volume of a cookie and the uncertainty in the volume. (b) Find the ratio of the diameter to the thickness and the uncertainty in this ratio.

## Homework Equations

V=pi*r

^{2}*h

d=8.50 +/- 0.02 cm → r=4.25+-0.01 cm

## The Attempt at a Solution

a.) average volume V=pi*r^2*h=pi*(4.25cm)

^{2}*0.050cm≈2.8cm

^{3}

volume of the smallest cookie V=pi*(4.24cm)

^{2}*0.045cm=2.54152...cm

^{3}

volume of the biggest cookie V=pi*(4.26cm)

^{2}*0.055cm=3.1356...cm

^{3}

uncertainty= (biggest - smallest)/2=0.30cm

^{3}

b.) ratio of the diameter to the thickness= 8.50cm/0.050cm=170

uncertainty=biggest ratio-smallest ratio=8.52cm/0.045cm-8.48cm/0.055cm=35

Please check my answers. I am not sure what is meant with that uncertainty thing.

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