radous r:Qnd height hisgiven by the Functioin =elh)= a) Compute the ldiffenentiah of V. b) A compEny produces stect cylinders to exacting tolerances. Suppose that the height oe a eylinder fîs supposed to be 10c m and the radiusgupposc to be 15 cm, Use the difeerential dV to estimate the changs in the Volume ĭ P the height OF a Cylinder is 1s 15.1 Cm particula 9.8 em and the radius
radous r:Qnd height hisgiven by the Functioin =elh)= a) Compute the ldiffenentiah of V. b) A compEny produces stect cylinders to exacting tolerances. Suppose that the height oe a eylinder fîs supposed to be 10c m and the radiusgupposc to be 15 cm, Use the difeerential dV to estimate the changs in the Volume ĭ P the height OF a Cylinder is 1s 15.1 Cm particula 9.8 em and the radius
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:The text describes a mathematics problem involving the volume of a circular cylinder. Here is a transcription suitable for an educational website:
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**Problem:**
The volume \( V \) of a circular cylinder with a base of radius \( r \) and height \( h \) is given by the function \( V = f(h) \).
(a) Compute the differential of \( V \).
(b) A company produces steel cylinders to exacting tolerances. Suppose that the height of a cylinder is supposed to be 10 cm and the radius is supposed to be 15 cm. Use the differential \( dV \) to estimate the change in the volume if the height of a particular cylinder is 9.8 cm and the radius is 15.1 cm.
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