Math Problem Statement

To determine the volume of the solid formed by revolving the region bounded by the curve y=3xy=3x​, the line y=9y=9, and the line x=16x=16 about the line y=9y=9 in respect to y

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Volume of Solids of Revolution
Washer Method

Formulas

Volume = π ∫[a to b] [R(x)^2 - r(x)^2] dx
Equation of the curve y = 3x

Theorems

Washer Method for Volume Calculation

Suitable Grade Level

Grades 11-12 (Calculus I level)

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