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 = m6'h = 367h. 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 (a) r= 6 cm Liquid volume v= 36#h (b) A 1-L measuring cup (a), modeled as a right circular cylinder (b) of radius r = 6 cm
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 = m6'h = 367h. 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 (a) r= 6 cm Liquid volume v= 36#h (b) A 1-L measuring cup (a), modeled as a right circular cylinder (b) of radius r = 6 cm
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 31A: A zinc casting is in the shape of a frustum of a right circular cone. The larger base area is 280...
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