Math Problem Statement
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = x^3, y = 1, x = 2;
about y = −5
V =
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Volume of Solids of Revolution
Cylindrical Shells Method
Formulas
V = 2π ∫[a,b] (radius of shell)(height of shell) dx
Theorems
Method of Cylindrical Shells
Suitable Grade Level
Undergraduate Calculus
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