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• # 7.2: volume by cross-sectional area- disk and washer

Dec 21, 2020 · Even though we introduced it first, the Disk Method is just a special case of the Washer Method with an inside radius of r(x) = 0. Example 7.2.4: Finding volume with the Washer Method Find the volume of the solid formed by rotating the region bounded by y = x2 − 2x + 2 and y = 2x − 1 about the x …

• ### ap calculus review: disk and washer methods - magoosh blog

Dec 28, 2017 · A washer is like a disk but with a center hole cut out. The formula for the volume of a washer requires both an inner radius r1 and outer radius r2. We’ll need to know the volume formula for a single washer. V = π (r22 – r12) h …

• ### solid of revolution between two functions (leading up to

Dec 21, 2017 · Volume with washer method: revolving around other axes. Video transcript. ... So that's one disk, we would have another disk over here. Another disk over here. For each x we have another disk. And as we go, as x's get larger and larger, the disks have a larger and larger radius. So we're going to sum up all of those disks

• ### difference between disc method washer method and shell

Jul 19, 2020 · Re: Difference between disc method, washer method and shell meth. Murray 12 Dec 2015, 05:22. Hi Shaikshavali. The disc method for finding a volume of a solid of revolution is what we use if we rotate a single curve around the x- (or y-) axis. If we do that and take slices perpendicular to the axis, we will produce a series of discs (like my watermelon example on this page:)

• ### volume of revolution: disk method

Such a disk looks like a “washer” and so the method that employs these disks for finding the volume of the solid of revolution is referred to as the Washer Method. The following example demonstrates how to find a volume that is created in this fashion

• ### generalizing the washer method (video) | khan academy

Well, it's going to be equal to dx. And let's rotate that whole thing around the x-axis. So if we rotate this thing around the x-axis, we end up with a washer. That's why we're going to call this the washer method. And it's really just kind of the disk method, where you're gutting out the inside of a disk. So that's the inside of …

• ### comparing washer and shell method - ximera

The method (washer or shell) The type of slice (vertical or horizontal) An important observation is that given any one of these three pieces of information, the others immediately follow. Here are a few examples. The region bounded by , , and is revolved about the -axis

• ### calculus - when to use washers method and when to use

I know that I can use either washers method or shells method. I have a few questions which I have googled but I did not receive much luck. ... An easy way to remember which method to use to find the volume of a solid of revolution is to note that the Disc / Washer method is used if the independent variable of the function(s) and the axis of

• ### 7.2:volume by cross-sectional area- disk and washer

Dec 21, 2020 · Even though we introduced it first, the Disk Method is just a special case of the Washer Method with an inside radius of r(x) = 0. Example 7.2.4: Finding volume with the Washer Method Find the volume of the solid formed by rotating the region bounded by y = x2 − 2x + 2 and y = 2x − 1 about the x …

• ### volume of revolution:disk method

Such a disk looks like a “washer” and so the method that employs these disks for finding the volume of the solid of revolution is referred to as the Washer Method. The following example demonstrates how to find a volume that is created in this fashion

• ### solid of revolution between two functions (leading up to

Dec 21, 2017 · Volume with washer method: revolving around other axes. Video transcript. ... So that's one disk, we would have another disk over here. Another disk over here. For each x we have another disk. And as we go, as x's get larger and larger, the disks have a larger and larger radius. So we're going to sum up all of those disks

• ### when to use washer, shell or disk| physics forums

Feb 21, 2005 · Depending on how the solid is described, you'll sometimes find the shell method easier to integrate than the washer method and vice versa. If you set up the integral one way and you're finding it hard to evaluate, try using the other method. Try doing the same problems using both methods, it's a good way to get a feel for when one is preferable

• ### comparing washer and shell method- ximera

The method (washer or shell) The type of slice (vertical or horizontal) An important observation is that given any one of these three pieces of information, the others immediately follow. Here are a few examples. The region bounded by , , and is revolved about the -axis

• ### calculus -when to use washers methodandwhen to use

I know that I can use either washers method or shells method. I have a few questions which I have googled but I did not receive much luck. ... An easy way to remember which method to use to find the volume of a solid of revolution is to note that the Disc / Washer method is used if the independent variable of the function(s) and the axis of

• ### what is the difference between the shellmethodanddisk

Aug 28, 2015 · The disk method is typically easier when evaluating revolutions around the x-axis, whereas the shell method is easier for revolutions around the y-axis---especially for which the final solid will have a hole in it (hence shell). The disk method is: V = piint_a^b (r(x))^2dx The shell method is: V = 2piint_a^b xf(x)dx Another main difference is the mentality going into each of these

• ### the washer method

This formula is called the washer method, because the area of a washer of inner radius g(x) and outer radius f(x) is . Find the volume traced out by the region between the curves and y = x 2, when the region i rotated about the x-axis. The two curves are parabolic in shape. They meet at (0,0) and (1,1), so the interval of integration is [0,1]