How do you know when to use washer or Shell Method?

How do you know when to use washer or Shell Method?

The Washer Method is used when the rectangle sweeps out a solid that is similar to a CD (hole in the middle). And finally, the Shell Method is used when the rectangle sweeps out a solid that is similar to a toilet paper tube.

What tool is used to measure the volume of a shell?

A graduated cylinder is a standard piece of laboratory glassware used to measure the volume of an object or amount of liquid.

How do you tell if it’s a washer or disk?

If it’s parallel to your slices, each slice will trace out a cylindrical shell as it revolves about the axis. If, on the other hand, it’s perpendicular to your slices, each slice will trace out a washer or disk as it revolves about the axis.

What is shell method?

The shell method is a technique for finding the volumes of solids of revolutions. It considers vertical slices of the region being integrated rather than horizontal ones, so it can greatly simplify certain problems where the vertical slices are more easily described.

What is shell method integration?

Shell integration (the shell method in integral calculus) is a means of calculating the volume of a solid of revolution, when integrating along an axis perpendicular to the axis of revolution.

What is shell calculus?

Part of a series of articles about. Calculus. Shell integration (the shell method in integral calculus) is a means of calculating the volume of a solid of revolution, when integrating along an axis perpendicular to the axis of revolution. This is in contrast to disc integration which integrates along the axis parallel to the axis of revolution.

What is disk method in calculus?

home / study / math / calculus / calculus definitions / disk method. The disk method, also known as the method of disks or rings, is a way to calculate the volume of a solid of revolution by taking the sum of cross-sectional areas of infinitesimal thickness of the solid.