#Calc III Triple Integrals

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lavish heron
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<@&727457725017096242>

lavish heron
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@rain tide

rain tide
lavish heron
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maybe u could help :(

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saw that you have calculus helper role

rain tide
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It's not cool to direct ping individuals.

lavish heron
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understandable

rain tide
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But the variables of integration don't matter at all.

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Also, this isn't a problem because there's no question or instruction.

lavish heron
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it's asking to create a triple integral but don't solv eit

rain tide
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Okay, so int int int dx dy dz is a solution.

lavish heron
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ok we need the bounds aswell

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can send you that if that helps you visualize it

rain tide
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Give me the whole question. That was the point I was making by giving you a trivial solution to the question you asked.

lavish heron
rain tide
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Okay, so this seems like you are supposed to solve it.

lavish heron
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okay ya

rain tide
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So obviously it's the volume of the sphere, minus the volume of the cylinder, minus the volume of the end caps of the cylinder, right?

lavish heron
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Yes

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we know the sphere for this problem is x^2+y^2+z^2=A^2, and cylinder is x^2+y^2=B^2

rain tide
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...do we know those things?

lavish heron
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welp since that their isn't any information in the problem given at all yes

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the geogebra link they posted is a very loose visualization of what we're integrating

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while being centered at the origin

rain tide
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Okay, but that's a visualization. It doesn't necessarily have anything to do with how we're meant to solve it. It's a picture.

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Look, what's the volume of the sphere?

lavish heron
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so how're we supposed to find the volume of this object if their isn't anything in the question about equations

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lmao

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the whole point is to set up a triple integral

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which solves for the volume (i'm sure you know)

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we don't need volume of sphere lol

rain tide
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We don't need to know the volume of a sphere when calculating the volume of a shape that's based on a sphere?

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Actually, we don't even need a triple integral here. It's doable as a volume of rotation.