Use MATLAB built in commands.

 

9.2 To estimate the surface area and volume of a wine barrel, the diameter of the barrel is measured at different points along the barrel. The surface area, S, and volume, V, can be determined by: S = 2fro 2T rdz and V = t r dz Use the data given in the table to determine the volume and surface area of the barrel. z (in.) -18 -12 -6 0 d (in.) 0 2.6 3.2 4.8 (a) Use the composite trapezoidal method. (b) Use the composite Simpson's 1/3 method. (c) Use the composite Simpson's 3/8 method. 6 12 18 5.6 6 6.2 x1