Let R be the region in the first quadrant bounded by the graph of #y=8-x^(3/2)#, the x-axis, and the y-axis. What is the best approximation of the volume of the solid generated when R is revolved about the x-axis?
1 Answer
The volume of the solid generated when R is revolved about the
Explanation:
The area of a circle with a radius equal to
We wish to figure out exactly what region we're looking at. This can be done by looking at the
It has an
With this, we know to integrate
The antiderivative of
So,