I find it really hard trying to imagine what the picture is after rotation! :S Help please! Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. about the axis
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Originally Posted by MathNeedy18 I find it really hard trying to imagine what the picture is after rotation! :S Help please! Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. about the axis use method of cylindrical shells: $\displaystyle V= \int_a^b 2\pi x f(x) \, dx$, since it is rotated on the y-axis.. interval: [0,8] $\displaystyle f(x) = x(8-x) = 8x-x^2 $ so, if we substitute these infos, we have $\displaystyle V= \int_0^8 2\pi (8x^2 - x^3) \, dx$
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