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Vividly
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- Solving the problem
Is there a way to solve a Disk,Washer,Shell method problem without actually creating a graph?
Why would you want to not draw a graph?Vividly said:Is there a way to solve a Disk,Washer,Shell method problem without actually creating a graph?
Because sometimes I may not draw the graph perfectly and may miss which equation is suppose to be subtracted from the other. I had this happen before.Mark44 said:Why would you want to not draw a graph?
Not wanting to sketch a graph because you might not do it perfectly is a terrible reason. If you have a problem drawing the graph correctly, the solution is not to skip this important step -- it's to learn how to make the graph good enough to be useful.Vividly said:Because sometimes I may not draw the graph perfectly and may miss which equation is suppose to be subtracted from the other. I had this happen before.
The Disk Method is a mathematical technique used to find the volume of a solid of revolution, created by rotating a two-dimensional shape around an axis. It is also known as the "cylindrical shell method" or "washer method".
The Washer Method is a variation of the Disk Method, used when the shape being rotated has a hole in the center. This method involves subtracting the volume of the hole from the volume of the solid.
The Shell Method is another variation of the Disk Method, used when the shape being rotated is not a complete circle. This method involves finding the volume of cylindrical shells created by slicing the shape into thin vertical strips.
The main difference between these methods is the shape of the cross-section being rotated. The Disk Method is used for circular cross-sections, the Washer Method is used for circular cross-sections with a hole, and the Shell Method is used for non-circular cross-sections.
These methods are commonly used in engineering and physics to calculate volumes of objects with rotational symmetry, such as cylinders, cones, and spheres. They can also be applied in fields such as architecture and manufacturing to determine the amount of material needed for a curved structure or object.