Math Problem Statement
the curve ysquared =4-x is rotated through 360 degrees about the y axis determine the volume of the solid formed
Solution
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Math Problem Analysis
Mathematical Concepts
Solids of Revolution
Cylindrical Shell Method
Integration
Formulas
V = 2π ∫ y_min^y_max x(y) * y dy
x = 4 - y^2
Theorems
Volume of solids of revolution (using cylindrical shells)
Suitable Grade Level
Grades 11-12 or introductory university calculus
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