A cylinder is inscribed in a cone with height H = 21 inches and radius R = 18 inches. We want to find the dimensions of the cylinder, r and h, that maximizes the volume of the cylinder. h R (a) Write the Volume of the cylinder as a function of and h. Volume= H (b) Write the volume of the cylinder as a function of . Hint: Similar Triangles Volume= (c) Using a TI calculator or other graphing device, determine the value of that maximizes the volume. inches (d) Determine the height that maximizes the volume. h= inches (e) Determine the maximum volume. cubic inches

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