A decorative oak post is 60 inches long and is turned on a lathe so that its profile is sinusoidal as shown in the figure below. y(s, t) = z(s, t) =| ≤8≤ ≤t≤ and where and 2 In this figure, ro = 5 inches and a = 12 inches. (a) Describe the surface of the post parametrically using cylindrical coordinates and the parameters s and t. x(s, t) = (b) Find the volume of the post. volume = (Include units.) To ao

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A: According to our guidelines we can solve only first three subparts.Kindly repost remaining subpart.