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The volume of a right circular cone whose base has a radius r and that has a height of h is given by the formula: V ==r?h If a particular cone is measured and these lengths are found to be r = 30 cm 3 and h = 10 cm, with an error of approximately +0.1 cm in each measurement, find the maximum possible error in the volume

The volume of a right circular cone whose base has a radius r and that has a height of h is given by the formula: V ==r?h If a particular cone is measured and these lengths are found to be r = 30 cm 3 and h = 10 cm, with an error of approximately +0.1 cm in each measurement, find the maximum possible error in the volume

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The volume of a right circular cone whose base has a radius r and that has a height of h is given by the formula: V = "r?h If a particular cone is measured and these lengths are found to be r = 30 cm %3D 3 and h = 10 cm, with an error of approximately +0.1 cm in each measurement, find the maximum possible error in the volume. %3D
Transcribed Image Text:The volume of a right circular cone whose base has a radius r and that has a height of h is given by the formula: V = "r?h If a particular cone is measured and these lengths are found to be r = 30 cm %3D 3 and h = 10 cm, with an error of approximately +0.1 cm in each measurement, find the maximum possible error in the volume. %3D
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Given that: Volume of cone, V=π3r2h, h=10cm and r=30 cm and errors in height and radius = ±0.1cm

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