Mathematics, 23.07.2019 16:30 jeanette7482
Find the volume of the solid obtained by rotating the region bounded by y = x 3 , y = 0 and x = 1 about the line y = −3.
Answers: 1
and outer radius 
![V = \int_0^1 A(x)\, dx = \int_0^1 \pi\left[ (x^3+3)^2 - 3^2 \right]dx = \int_0^1 \pi\left( x^6 + 6x^3 \right)dx \\ \\ = \pi\left[ \frac{1}{7}x^7 + \frac{3}{2}x^4 \right]_0^1 = \pi\left(\frac{1}{7}+ \frac{3}{2} \right) = \frac{23}{14}\pi](/tpl/images/0124/0640/dfbf6.png)
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Find the volume of the solid obtained by rotating the region bounded by y = x 3 , y = 0 and x = 1 ab...
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