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in this video we are going to review how to find the volume of a solid using cross sections so theres two formulas that you need to be aware of the volume can be found using this equation is the integration from a to b of the area function and if its in terms of x then the cross sections has to be perpendicular to the x-axis you can also use this equation where c and d are y values if its in terms of y then the cross sections has to be perpendicular to the y axis so for this problem the cross sections are perpendicular to the x-axis so were going to use this formula now lets go ahead and draw a graph so y is equal to the square root of x and its bounded by the x axis and the line x equals four now if we draw a square the cross sections are squares the area of the square is basically side squared and s is perpendicular to the x-axis s represents the base of the cross section so notice that s is the same as y so the area which is s squared is also equal to y squared and y is the s