Problem

MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A solid is obtained by rotating the shaded region about the specifled line. about the $y$-axis (1) (a) Set up an integral using the method of cylindrical shells for the volume of the solid. \[ V=\int^{\sqrt{\pi / 2}}(\square) d x \] (b) Evaluate the integral to find the volume of the solid.

Solution

Step 1 :Set up an integral using the method of cylindrical shells for the volume of the solid. The integral is represented as \(V=\int^{\sqrt{\pi / 2}}(\square) dx\).

Step 2 :Evaluate the integral to find the volume of the solid.

Step 3 :The question does not provide enough information to solve the problem. We need more details about the shaded region and the function to be integrated.

Step 4 :Final Answer: \(\boxed{\text{The question does not provide enough information to solve the problem. We need more details about the shaded region and the function to be integrated.}}\)

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