Mathematics, 29.08.2021 14:00 SchoolFirst9811
Find the volume of the solid generated by revolving the region about the
A.)-axis (use washer method)
B.)-axis (use cylindrical shell method)
Answers: 3
![V=\int_1^3 \pi(f(x)^2-1^2)\, dx\\V=\int_1^2 \pi(3^2-1^2)\, dx +\int_2^3 \pi((-x+5)^2-1^2)\, dx\\=9\pi + \int_2^3 \pi(x^2-10x+24)\, dx\\=9\pi +\pi\left({[(1/3)x^3-5x^2+24x]_2^3\right)\\=9\pi + \pi( (19/3) -25 +24)\\=9\pi +(16/3)\pi=43/3 \pi.](/tpl/images/2449/0105/af468.png)
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Find the volume of the solid generated by revolving the region about the
A.)-axis (use washer meth...
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