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Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.
If you cut the cone in half then drop a line from the point down to the centre of the base, you can then find the radius, which is the the base of one of the triangles you now have. You need to know one of the angles though, then work out the radius through trigonometry.
Use the equation for the volume of a cone, replace the known height and volume, and solve the resulting equation for the radius.
By means of Pythagoras' theorem providing you are given the radius and perpendicular height of the cone
Volume of a cone = 1/3*pi*radius2*height To find the radius make it the subject of the above formula.