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All right.
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So here we have two cylinders, our shaded cylinder, and then this smaller cylinder inside.
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We need to find the volume of the shaded cylinder.
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So how we're going to do this is we're going to find the volume of that shaded cylinder.
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Then we're going to find the volume of our cylinder inside.
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And we are going to subtract that volume of the inside cylinder from our outside cylinder.
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And that will give us the volume of the shaded area.
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Now, how we find the volume of a cylinder is this formula right here.
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Our volume is equal to pi times our radius squared times our height.
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So for our large cylinder, our volume will be equal to pi.
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Then we need our radius squared.
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We have a diameter of 10, which means our radius is half of that, which is 5.
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So 5 squared.
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Then our height right here is 15.
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Times 15.
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If we work that out, we get that our volume is equal to 375 pi meters cubed...