Question: The interior of a typical 1-L measuring cup is a right circular cylinder of radius 6 cm. The volume of water we put in the

The interior of a typical 1-L measuring cup is a right circular cylinder of radius 6 cm. The volume of water we put in the cup is therefore a function of the level h to which the cup is filled, the formula being

How closely must we measure h to measure out 1 L of water (1000 cm³) with an error of no more than 1% (10 cm³)?

A 1-L measuring cup (a), modeled as a right circular cylinder (b) of radius r = 6 cm

V = 6?h 36h.

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