Math Problem Statement

Let R be the region bounded by y=x2 , x=0 , and y=4 . Set up the integral that represents the volume of the solid formed when R is revolved about the line x=4 using the Shell Method.

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Volume of Solids
Shell Method

Formulas

V = 2π ∫(radius of shell)(height of shell) dx

Theorems

Shell Method

Suitable Grade Level

Grades 11-12