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The cylinder S = {(x, y, z) | x² + y² ≤ 36,0 ≤ z ≤ 5} the temperature increases linearly in the form of the ratio of both radius and height. T(x, y, z) T = Calculate the average temperature of the cylinder 1 JJS ₂ V = Hint: V = J R²h, Answer: 78 12 (₁ x² + y² + z T(x, y, z) dV. x² + y² =r1.

The cylinder S = {(x, y, z) | x² + y² ≤ 36,0 ≤ z ≤ 5} the temperature increases linearly in the form of the ratio of both radius and height. T(x, y, z) T = Calculate the average temperature of the cylinder 1 JJS ₂ V = Hint: V = J R²h, Answer: 78 12 (₁ x² + y² + z T(x, y, z) dV. x² + y² =r1.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The cylinder S = {(x, y, z) | x² + y² ≤ 36,0 ≤ z ≤ 5} the temperature increases linearly in the form of the ratio of both radius and height. T(x, y, z) = 12 ( Calculate the average temperature of the cylinder 1 = !!!! V T = ♫ R²h, √x² + y² + z 2) Hint: V = Answer: 78 T(x, y, z) dV. √x² + y² =r₁.
Transcribed Image Text:The cylinder S = {(x, y, z) | x² + y² ≤ 36,0 ≤ z ≤ 5} the temperature increases linearly in the form of the ratio of both radius and height. T(x, y, z) = 12 ( Calculate the average temperature of the cylinder 1 = !!!! V T = ♫ R²h, √x² + y² + z 2) Hint: V = Answer: 78 T(x, y, z) dV. √x² + y² =r₁.
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