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jaychay
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Can you check it for me that I done it right or not ?
Thank you in advance.
The shell method is a mathematical technique for finding the volume of a solid of revolution. It involves slicing the solid into thin cylindrical shells and adding up the volumes of all the shells to get the total volume.
The disk method is another mathematical technique for finding the volume of a solid of revolution. It involves slicing the solid into thin disks and adding up the volumes of all the disks to get the total volume.
The choice between using the shell method or the disk method depends on the shape of the solid of revolution. If the solid has a hole or a gap in the middle, the shell method is more appropriate. If the solid is a solid cylinder or has a solid center, the disk method is more suitable.
The steps for using the shell method to find volume are as follows:1. Identify the axis of revolution.2. Determine the limits of integration.3. Set up the integral using the formula for the volume of a cylindrical shell.4. Evaluate the integral to find the total volume.
The steps for using the disk method to find volume are as follows:1. Identify the axis of revolution.2. Determine the limits of integration.3. Set up the integral using the formula for the volume of a circular disk.4. Evaluate the integral to find the total volume.