Stripes on a measuring cup The interior of a typical 1-L mea- suring cup is a right circular cylinder of radius 6 cm (see accompa- nying figure). 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 V = 76*h = 36Th. How closely must we measure h to measure out 1 L of water (1000 cm?) with an error of no more than 1% (10 cm³)? Stripes about 1 mm wide r= 6 cm T Liquid volume ´v= 367h A 1-L measuring cup (a), modeled as a right circular cylinder (b) of radius r = 6 cm
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
Stripes on a measuring cup The interior of a typical 1-L measuring cup is a right circular cylinder of radius 6 cm (see accompanying figure). 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
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