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The shell method goes as follows: Consider a volume in three dimensions obtained by rotating a cross-section in the xy-plane around the y-axis. Suppose the cross-section is defined by the graph of the positive function f(x) on the interval [a, b]. Then the formula for the volume will be:
Two common methods for finding the volume of a solid of revolution are the disc method and the shell method of integration.To apply these methods, it is easiest to draw the graph in question; identify the area that is to be revolved about the axis of revolution; determine the volume of either a disc-shaped slice of the solid, with thickness δx, or a cylindrical shell of width δx; and then ...
A Yuanfeng Tongbao (元豐通寶) cash coin from the Northern Song dynasty with a "flower (or 'rosette') hole" in the middle.. Cash coins with flower (rosette) holes (traditional Chinese: 花穿錢; simplified Chinese: 花穿钱; pinyin: huā chuān qián) are a type of cash coin with an octagonal hole as opposed to a square one, they have a very long history possibly dating back to the first ...
As the race in space was winding down, soviet scientists turned inwards. You'd never guess that this is the site of one of their great achievements. This hard-to-find rusty cap in the ruins of a ...
Ancient boat building methods can be categorized as one of hide, log, sewn, lashed-plank, clinker (and reverse-clinker), shell-first, and frame-first. While the frame-first technique dominates the modern ship construction industry, the ancients relied primarily on the other techniques to build their watercraft. In many cases, these techniques ...
"Holes" of course told the story of Shia's character Stanley who was wrongly convicted of a crime and is forced to a desert detention camp where they dig, you guessed it, holes. For a quick ...
In the Levant, the Levallois technique was also used by anatomically modern humans during the Middle Stone Age. In North Africa, the Levallois technique was used in the Middle Stone Age, most notably in the Aterian industry to produce very small projectile points. While Levallois cores do display some variability in their platforms, their flake ...
By filling the hole with uncooked noodles, you now have the perfect single serving of spaghetti. I may have been doing pasta all wrong — or, let's be honest, exactly right — my entire adult life.