A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 5 inches and the height is 9 inches. Express the volume, V, of the cylinder in terms of its height, h. Hint: Ratios for similar right triangles will be helpful. V(h): = Π 25h3 (9-h)² × 10 The hypotenuse of a right triangle has one end at the origin and one end on the curve y = Express the area of the triangle as a function of x. A(x) =

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