Mathematics, 29.07.2020 01:01 hard564
Find the volume of the region enclosed by the cylinder x squared plus y squared equals 36 and the planes z equals 0 and y plus z equals 36.
Answers: 3
and the plane z = 0 and y + z = 36
![V = \int\limits^{2 \pi} _0 [\dfrac{36r^2}{2}- \dfrac{r^3}{3}sin \theta]^6_0 \ d\theta](/tpl/images/0714/4405/5c700.png)
![V = \int\limits^{2 \pi} _0 [648- \dfrac{216}{3}sin \theta]d\theta](/tpl/images/0714/4405/c117a.png)
![V = \int\limits^{2 \pi} _0 [648+\dfrac{216}{3}cos \theta]d\theta](/tpl/images/0714/4405/51894.png)
![V = [648+\dfrac{216}{3}cos \theta]^{2 \pi}_0](/tpl/images/0714/4405/b3112.png)
![V = [648(2 \pi -0)+\dfrac{216}{3}(1-1)]](/tpl/images/0714/4405/69adb.png)
![V = [648(2 \pi )+\dfrac{216}{3}(0)]](/tpl/images/0714/4405/b8b2e.png)
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Find the volume of the region enclosed by the cylinder x squared plus y squared equals 36 and the pl...
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