Final answer:
To find the volume of the solid generated by revolving the region bounded by the line and curve about the x-axis, we can use the method of cylindrical shells. The volume can be calculated using the formula V = 2π∫(x)(f(x)) dx, where f(x) is the function that represents the curve.
Step-by-step explanation:
To find the volume of the solid generated by revolving the region bounded by the line and curve about the x-axis, we can use the method of cylindrical shells. The formula for finding the volume using cylindrical shells is V = 2π∫(x)(f(x)) dx, where f(x) is the function that represents the curve. In this case, f(x) = √(9-x).
So, the volume can be calculated as V = 2π∫(x)(√(9-x)) dx. Integrate this expression to find the volume of the solid.