WEBVTT
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okay. Recall the fact that we know that Z
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is a prevalent to the squirt of r squared minus
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Z squared. Now remember, we know the whole
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cross section is gonna be four times that. Remember
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when we square something, it cancels out the square
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root and the squared sine so we end up with
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simply four times r squared minus c squared. Now
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that we have this, we know we can integrate
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from zero to our And remember, we can actually
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just double this. This makes it a lot easier
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because now, instead of having negative bounds who are
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simply doubling the result, pull out all of our
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constants. Other words, if we plot before we
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end up with 82 times four is eight. Integrate
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. When we integrate, we use the power method
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, which means we increased the expert by one,
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we divide by the new expert. Z squared becomes
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1/3 c cubed. Now we're at the point where
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we can plug in our bounds. Remember, we're
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playing and are on the top and they're playing in
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zero on the bottom. We plug in zero.
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We actually just end up with zero minus zero,
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which is always just zero, which means we have
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eight times to r cubed over three, which means
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we end up with 16 r cubed divided by three
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.