How do you find the volume generated by revolving about the x-axis, the first quadrant region enclosed by the graphs of #y = 9 - x^2# and #y = 9 - 3x# between 0 to 3?
1 Answer
Explanation:
You are trying to find the volume the 3d figure created by revolving this region around the x-axis
We are going to use the washer method.
First we need to determine the bounds
We can do this by setting both equations equal to each other:
Now we can apply the washer method
In this formula f(x) must be greater than g(x) over the bounds of the integral. In our scenario the function that satisfies this is
Now we just need to plug in f(x) and g(x) into the washer method and integrate.