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The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method.

$ y^2 - x^2 = 1 $ , $ y = 2 $ ; about the y-axis

$\frac{4}{3} \pi$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 3

Volumes by Cylindrical Shells

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The problem is the region bonnet about the Cuban curves is rotated about. It's a spice. If I access mind is a volume of the resulting solid. I only my third hear why square minus X squared. Is it one? Why is this true, Andi? Apart. Why access first two We can sketch the graph of this curve. This is point one and this is why I could. True on the written is best part the resulting solly that can also be obtained by rotating half off this region. This part the reason is this region heads. It's my chick about waxes. Now for this problem, we can use slaps life in my thirties Oh, it's why we have axe. Yes, He called to motive. Why? Square minus one then Volume is the call too into girl from want you too? Hi, you tiff. Why? Squire? Minus one Squatter. You want this's equal itude integral from one to two. Hi. Why? Square minus one Do you want? This is a cultural pie. One third. How? Why two three minus Why? From one to choose. This's Hi, My third on here. This is it. My swan minus two minus one. This is a cultural pi. Times seven over three, minus one. This's hope I o r three

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