1. The diameter of a right circular cylinder is equal to its altitude. Letting V and S be the respective volume and surface area of the cylinder and 2r the diameter, use differentials to estimate the maximum possible error, relative error, and percentage error in computing (a) the volume of this cylinder and (b) the surface area of the cylinder when the measured diameter is 20 cm and the maximum possible error in the measurement is 01 cm

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
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1. The diameter of a right circular cylinder is equal to its altitude. Letting V and S be the
respective volume and surface area of the cylinder and 2r the diameter, use
differentials to estimate the maximum possible error, relative error, and percentage
error in computing
(a) the volume of this cylinder and
(b) the surface area of the cylinder
when the measured diameter is 20 cm and the maximum possible error in the
measurement is 0.1 cm.
Transcribed Image Text:1. The diameter of a right circular cylinder is equal to its altitude. Letting V and S be the respective volume and surface area of the cylinder and 2r the diameter, use differentials to estimate the maximum possible error, relative error, and percentage error in computing (a) the volume of this cylinder and (b) the surface area of the cylinder when the measured diameter is 20 cm and the maximum possible error in the measurement is 0.1 cm.
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