A company manufactures ice cream cones with the radius equal to one-fifth of the height. The cones are designed to have a radius of 3 cm. However, it is found that the radii have a possible error of ±0.2 cm. Use differentials to estimate the maximum error, relative error, and percent error in the volume of the ice cream cones. Hint: Volume of a Cone = πr√(r2 + h^2) where r is the radius of the cone and h is the height of the cone.
A company manufactures ice cream cones with the radius equal to one-fifth of the height. The cones are designed to have a radius of 3 cm. However, it is found that the radii have a possible error of ±0.2 cm. Use differentials to estimate the maximum error, relative error, and percent error in the volume of the ice cream cones. Hint: Volume of a Cone = πr√(r2 + h^2) where r is the radius of the cone and h is the height of the cone.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 80RE
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A company manufactures ice cream cones with the radius equal to one-fifth of the height. The cones are designed to have a radius of 3 cm. However, it is found that the radii have a possible error of ±0.2 cm. Use differentials to estimate the maximum error, relative error, and percent error in the volume of the ice cream cones. Hint: Volume of a Cone = πr√(r2 + h^2) where r is the radius of the cone and h is the height of the
cone.
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