Question

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

Answer 1

a)

consider the cookie to be cylinder of volume pi*(t+ u1)((r+u2)^2)

t = thickness
r = radius (.5 diametre)
u1 = measured deviation from standard radius
u2 = measured deviation from standard thickness
m1 = maximum uncertainty of radius
m2 = maximum uncertainty of thickness

the average volume of the cookie for independent errors is

pi*average r * average r * average thickness

the uncertainty is largest cookie - smallest cookie

pi*(t+ m1)((r+m2)^2) - pi*(t - m1)((r-m2)^2)

b)

(2r+u2)/(t+u1)

uncertainty is largest numerator/smallest denominator - smallest numerator/largest denominator

(2r+m2)/(t-m1) - (2r-m2)/(t+m1)

substitute appropriate values and calculate