# Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

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###### Question:

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.

## Answers

Answer:hello your question is incomplete attached below is the complete question and solution Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = x^2 , x = y^2 about x = -1answer : [tex]\frac{29\pi }{30}[/tex]Step-by-step explanation:given curves = y = x^2 and x = y^2 we determine the inner and outer radii using the washer method inner radius = R2(y) = 1 + y^2outer radius = R1 (y) = 1 + [tex]\sqrt{y}[/tex]volume of the solid = [tex]\frac{29\pi }{30}[/tex]attached below is a detailed solution and required sketch

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