1. A child is measured to have height 1.28 metres and weigh 39 kg. Calculate the

Question

1. A child is measured to have height 1.28 metres and weigh 39 kg. Calculate their Body Mass
Index (BMI). If these measurements have possible errors of 1 cm and 0:5 kg respectively, use
dierentials to estimate the maximum possible error in this BMI.
2. A simple plastic cup has the shape of a hollow cylinder with a base of the same radius (and
no top). The radius of the cup is 6 cm and the height is 8 cm. Use dierentials to estimate the
volume of material needed to make the cup if the base is 1.5 mm thick and the wall of the cylinder
is 0.8 mm thick.

Explanation / Answer

1) BMI =23.8

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