Section 4.7 Optimization Problems 1. [3 pts] A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible volume of such a cylinder. 2. [3 pts] A poster is to have an area of 384 cm2 with 6 cm margins at the top and bottom and 4cm margins at the sides. What dimensions will give the largest printed area? 3. [3 pts] Find the points on the ellipse 4x2 + 312 = 4 that are farthest away from the point (1, 0)