Math Problem Statement
the is length of the wire increased by 0.02% and its radius is decrease by 0.005% the percentage change in volume by
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Calculus
Percentage Change
Formulas
Volume of a cylinder V = πr²l
Percentage change in volume: ΔV/V ≈ 2(Δr/r) + Δl/l
Theorems
Linear Approximation
Volume Formula for Cylinders
Suitable Grade Level
Grades 10-12
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