Ametal rod 9.4 meters long is cut into two pieces. one piece is three times as long as the other. find the length of the longer piece in meters. round your answer to the nearest 10th of a meter.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe