shaikshavali 11 Dec 2015, 07:59
good morning mam, your interactive mathematics is very useful to me for clarify my doubt .Thank you
I have a small doubt:
what is the difference between DISC METHOD ,WASHER METHOD AND SHELL METHOD?
4. Volume of Solid of Revolution by Integration
Tried to find it on IntMath, but couldnt
X
good morning mam, your interactive mathematics is very useful to me for clarify my doubt .Thank you I have a small doubt: what is the difference between DISC METHOD ,WASHER METHOD AND SHELL METHOD?
Relevant page <a href="/applications-integration/4-volume-solid-revolution.php">4. Volume of Solid of Revolution by Integration</a> What I've done so far Tried to find it on IntMath, but couldnt
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:)
4. Volume of Solid of Revolution by Integration
If we rotate an area between 2 curves, and then take slices, we won't have a discs, instead we'll have washers (like the ones given in the pictures at the top of the page above).
The Shell method approaches it from quite a different viewpoint. This time we end up with a set of hollow cylinders (something like a water pipe).
You need to use different integration formulas for disks, washers and shells methods.
See this page for explanation and examples of disk and washer methods:
Volume of Solid of Revolution (Disk and Washer Methods)
And see this page for examples of Shell Method:
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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:) <a href="/applications-integration/4-volume-solid-revolution.php">4. Volume of Solid of Revolution by Integration</a> If we rotate an area between 2 curves, and then take slices, we won't have a discs, instead we'll have washers (like the ones given in the pictures at the top of the page above). The Shell method approaches it from quite a different viewpoint. This time we end up with a set of hollow cylinders (something like a water pipe). You need to use different integration formulas for disks, washers and shells methods. See this page for explanation and examples of disk and washer methods: <a href="//www.intmath.com/applications-integration/4-volume-solid-revolution.php">Volume of Solid of Revolution (Disk and Washer Methods)</a> And see this page for examples of Shell Method: <a href="http://www.intmath.com/applications-integration/shell-method-volume-solid-revolution.php">Shell Method: Volume of Solid of Revolution</a>
cuhnkedrik 17 Oct 2023, 23:37
If we turn a single curve about the x (or y) axis, we can calculate its volume using the disc approach, which is applicable to any solid of revolution. A sequence of discs (like the one shown in my watermelon illustration) will result if we do this and cut perpendicular to the axis. geometry dash
X
If we turn a single curve about the x (or y) axis, we can calculate its volume using the disc approach, which is applicable to any solid of revolution. A sequence of discs (like the one shown in my watermelon illustration) will result if we do this and cut perpendicular to the axis. <a href="https://geometry-dash.io/">geometry dash</a>
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