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Volume 1. Seller Inventory F13F Published by Viz Media About this Item: Viz Media, All orders are dispatched the following working day from our UK warehouse. Established in , we have over , books in stock. No quibble refund if not completely satisfied. Seller Inventory mon Yasuhiro Kano illustrator. Satisfaction Guaranteed! Book is in Used-Good condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain limited notes and highlighting.

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May have page creases, creased spine, bent cover or markings inside. Packed with care, shipped promptly. Seller Inventory J All orders guaranteed and ship within 24 hours. Before placing your order for please contact us for confirmation on the book's binding. Check out our other listings to add to your order for discounted shipping. So the length of this side and that side is going to be the same thing as the height of my cylinder. So this is going to be 8 centimeters.

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And then this over here is also going to be 8 centimeters. And so the question we need to ask ourselves is, what is going to be this dimension right over here. And remember, that dimension is essentially, how far did we go around the cylinder. Well, if you think about it, that's going to be the exact same thing as the circumference of either the top or the bottom of the cylinder. So what is the circumference?

The circumference of this circle right over here, which is the same thing as the circumference of that circle over there, it is 2 times the radius times pi. Or 2 pi times the radius. So this distance right over here is the circumference of either the top or the bottom of the cylinder. It's going to be 8 pi centimeters. So if you want to find the surface area of just the wrapping, just the part that goes around the cylinder, not the top or the bottom, when you unwind it, it's going to look like this rectangle.

And so its area, the area of just that part, is going to be equal to 8 centimeters times 8 pi centimeters. So let me do it this way. It's going to be 8 centimeters times 8 pi centimeters. And that's equal to 64 pi. You have your pi centimeters squared. So when you want the surface area of the whole thing, you have the top, you have the bottom, we already threw those there.

And then you want to find the area of the thing around.

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We just figured that out. So it's going to be plus 64 pi centimeters squared. And now we just have to calculate it. So this gives us 2 times 16 pi, is going to be equal to That is 32 pi centimeters squared, plus 64 pi. Let me scroll over to the right a little bit. Plus 64 pi centimeters squared. And then 32 plus 64 is 96 pi centimeters squared. So it's equal to 96 pi square centimeters, which is going to be a little bit over square centimeters. And notice, when we did surface area, we got our answer in terms of square centimeters.

That makes sense, because surface area, it's a two-dimensional measurement. Think about how many square centimeters can we fit on the surface of the cylinder. When we did the volume, we got centimeters cubed, or cubic centimeters.

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And that's because we're trying to calculate how many one by one by one centimeter cubes can we fit inside of this structure. And so that's why it's cubic centimeters. Anyway, hopefully that clarifies things up a little bit. Volume of cylinders. Up Next. For example, Molly Morris found that young female swordtail fish prefer symmetrical males. Morris is a behavioral ecologist at Ohio University in Athens.

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A behavioral ecologist studies the evolutionary basis of animal behaviors. Swordtail fish have dark vertical bars on their sides. Small, young females prefer males with the same number of bars on both sides, Morris says. That love of symmetry matches findings in other species, including zebra finches and lizards, she notes.

But the symmetry rule has some limits — at least in the fish that Morris studies. Larger, older swordtail females prefer asymmetrical males. Morris wondered if this might have to do with how the males had grown. So she and her team tested fish. They fed some males high-quality food and others low-quality food. Certain males grew faster on high-quality food. And those fast-growing males ended up with uneven bars on their sides.

Asymmetry may show that a male has put his energy into rapid growth, Morris says. For example, a fish living near lots of predators would be more likely to survive if it grew faster. It would also be better off if it could grow even when food is scarce. So females that live in one of these types of environments should prefer asymmetrical males, Morris explains. Those males would carry the best genes for their environment, and would later pass them on to their young. Research on birds also shows that female birds prefer good-looking guys.

For example, among satin bowerbirds, females prefer males whose feathers reflect more ultraviolet UV light. Researchers at Auburn University in Alabama caught male bowerbirds and took blood samples. Males with blood parasites had feathers reflecting less UV light than healthy males. They were using that information to find healthy males to father their young. Adeline Loyau is a behavioral ecologist who has seen similar things in peacocks. These are the vivid circles at the ends of their tail feathers. She knew peahens prefer males with more eyespots.

They also prefer males that show off their tails more. Her work has now shown that healthier peacocks have more eyespots in their tails. These birds also splay their flashy tails more frequently to the females. Loyau then gave some males an injection that made their immune systems leap into action.

It was as if they were sick. These peacocks displayed their tails less than the healthy guys did. But that was only true if they had fewer eyespots. Females are better off avoiding sick mates, she explains. A female bird, she adds, also looks for good genes in the guy who will father her young. For example, it may help us find healthy mates. Langlois and her team in Texas studied this question using a technique called EEG. EEGs measure electrical activity in the brain using a net of small electrodes placed on the outside of the head.

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The scientists recruited college students for their brain study. Each student looked at a series of faces while wearing the electrode net. Human faces fell into one of three groups: highly attractive, unattractive or digitally morphed images that combined many features into an average face.

Some chimpanzee faces were put in the mix too. The EEG recorded brain activity as each student viewed the pictures. The researchers then searched the EEGs for patterns of electrical activity. Those patterns offered signs of what the brain was doing. That makes sense, the researchers now say, because people are more familiar with human faces. The team also found that brains processed very attractive faces faster than unattractive ones. And they processed average faces even faster. Subjects also rated the averaged faces as most attractive.

In sum, looks may go far more than skin deep after all. They also can affect how people interact. Scientists discovered long ago that people show favor to those with a pretty face. Attractive people are more likely to get jobs. They make more money than their less attractive coworkers. We even tend to think attractive people are smarter and friendlier than less attractive people.

And they found it. The scientists then chose the six photos with the lowest ratings and six with the highest. They chose another six photos that had ratings closest to the average or mean score. After each quick view, the students had to answer a question about the person in that last picture. For example, how likely was she to be popular, friendly, helpful, kind or smart? Medium attractive people got similar rankings to highly attractive people for everything except sociability. Griffin and Langlois then repeated the experiment with children aged seven to nine.

They got the same results. It can be hard to stop ourselves from stereotyping others. Schein agrees. That can keep us from discriminating against people who are unattractive — or simply uneven. This technique charts a series of brainwaves. A graph of the measured brainwaves is called an electroencephalogram, which also is abbreviated EEG.


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Most commonly used is the arithmetic mean, obtained by adding the data and dividing by the number of data points. Classic examples of parasites include ticks, fleas and tapeworms.