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

1. ## 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

1) Recall that the voulme can be computed by $V=\pi \int_{a}^{b}(f(x))^{2}dx$ (assuming that the graph of the function is turned 360 degrees around the x-axis)
2) Find the limits $a$ and $b$ (you have these given)
3) Compute $V=\pi \int_{0}^{2}(\sqrt{5}x^{2})^{2}dx=\pi \int_{0}^{2}5x^{4}dx$