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.

Answer 1

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 = -1

answer :
`(29\pi )/(30)`

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^2

outer radius = R1 (y) = 1 +
`√(y)`

volume of the solid =
`(29\pi )/(30)`

attached below is a detailed solution and required sketch