Mathematics, 14.01.2020 23:31 monica1400
Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
f(x)=x-4, y=0, x=4, x=10.
Answers: 2
![V = \pi [\frac{280}{3} -\frac{64}{3}]= 72\pi](/tpl/images/0455/1260/1a203.png)
![A(x) = \pi [f(x)]^2 = \pi r^2 = \pi [x-4]^2 = \pi (x^2 -8x +16)](/tpl/images/0455/1260/f5967.png)
![V= \pi [\frac{x^3}{3} - 4x^2 +16 x]\Big|_4^{10}](/tpl/images/0455/1260/9ef54.png)
![V=\pi [(\frac{1000}{3} -400 +160)-(\frac{64}{3} -64 +64)]](/tpl/images/0455/1260/53fda.png)
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Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded b...
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