I'm trying to find the volume of this set of values y=x^3 y=8 x=0 it is being rotated about the x-axis, the back of my text gives an answer of 768* pi/7 however i dont seem to be getting this value please help
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Originally Posted by XyxFibonaccixyX I'm trying to find the volume of this set of values y=x^3 y=8 x=0 it is being rotated about the x-axis, the back of my text gives an answer of 768* pi/7 however i dont seem to be getting this value please help method of washers ... $\displaystyle V = \pi \int_0^2 8^2 - (x^3)^2 \, dx$
Im wondering why it is that you have 8^2 - (x^3)^2 and also what would this look like if it were a method of shells,
Originally Posted by XyxFibonaccixyX Im wondering why it is that you have 8^2 - (x^3)^2 method of washers ... $\displaystyle \textcolor{red}{V = \pi \int_a^b [R(x)]^2 - [r(x)]^2 \, dx}$ and also what would this look like if it were a method of shells $\displaystyle \textcolor{red}{V = 2\pi \int_0^8 y \cdot \sqrt[3]{y} \, dy}$ ...
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