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Find the indicated volumes by integration.Describe a region that is revolved about the $y$ -axis to generate a volume found by the integral in Exercise 27.

Calculus 2 / BC

Chapter 26

Applications of Integration

Section 3

Volumes by Integration

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what you could do to revolve something over the y axis is simply change it to be in terms of why 1 2 of why cubed. Dy So when you examine that, uh you saw the pie in front so it's still the disk method, but instead of being X equals one, you'll have y equals one and y equals to a problematic. You'll also need the y axis which is X equals zero that we are revolved around and then one more thing to think about it is the disk method is going to be high times the inner role of something squared. So just think about it for a second that to get this to be squared, um Something squared to be cubed in a power to empower you multiply the exponents. This has to be 3/2. So the line that we're going to revolve or the curve is X equals y to the three halfs power and now it satisfies all of these conditions and you could examine what it looks like like was one like was too um you know, you have some graphs, I don't know exactly how it's going to be curved but then it's going to rotate this way and you're going to get the same area as the previous problem. Same volume, I should say

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