1. A cylindrical tank with a radius of 12 m and a length of 40 m is oriented horizontally. The tank is filled with water to a depth of 20 m. Compute the volume of water in the tank and the percentage of the tank's volume that is filled with water. a. Draw a cross section of the tank with the region in which integration is required. b. Define the integral required to find the volume of water in the tank. c. Determine the volume of water in the tank and the percentage of the tank's total capacity that is filled by water. 2. Solve the following set of linear equations by the matrix method x+3y+2z3 2x y23z=-8 5x + 2y + z = 9

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