(b) The roof of a silo is made by revolving the curve y 12 y = 12cos?(x) from x = 0 m to x = 4 m about the y axis, as y

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B The Roof Of A Silo Is Made By Revolving The Curve Y 12 Y 12cos X From X 0 M To X 4 M About The Y Axis As Y 1 (262.65 KiB) Viewed 58 times

(b) The roof of a silo is made by revolving the curve y 12 y = 12cos?(x) from x = 0 m to x = 4 m about the y axis, as y = 12cos't x) shown in the figure to the right. The surface area, S, that is obtained by revolving a cuive y = f(x) in the domain from a to b around the y axis can be cal- culated by: V S = 27[xw1 + [8"(r)]? det Calculate the surface area of the roof with the following integra- tion methods: . • Composite Simpson's (divide the whole interval into ten subintervals). Four-point Gauss quadrature. Hint: You do not need to develop a program for this problem. Solve it manually and submit.