Thread: Calculate the volume of solid that lies between planes perpendicular to the x-axis

Calculate the volume of solid that lies between planes perpendicular to the x-axis at x=0, and x=2 . The cross sections perpendicular to the x-axis are circular discs with diameters running from the x-axis up to the parabola y = sqrt(5) x^2

please show the steps, thankx

Hello,

If I have understood your question correctly, you may do the following:

1) Recall that the voulme can be computed by (assuming that the graph of the function is turned 360 degrees around the x-axis)

2) Find the limits and (you have these given)

3) Compute