Calculations for surface dirt volume from a 1 Megaton surface burst . . . . | . . 200' | h . . Dirt | Dirt . ._________________|__________________. . \ r=500' | r=500' . . \ | Air . . \ R | . . \ | R-h = 525' . . \ | . . R=r^2 + (R-h)^2 \ | v=pi/3*h^2*(3*R-h) . . R^2=r^2+R^2-2Rh+h^2 \ | or . . 2Rh=r^2+h^2 \ | v=pi/6*h*(3*r^2 + h^2) . . R=(r^2+h^2)/2h \| . R=(500^2+200^2)/2*200 v=8.273e7'^3 R=25e4+4e4/4e2 R=29e4/4e2=7.25e2=725' V=4/3*pi*R^3 = 1.596e9'^3 v/V = 5.18% v = volume of a spherical segment V = volume of total sphere @ radius R