In Problems 11-15, let R be the region bounded by the lines y=4-x, x= -2, and the x-axis. Each problem will describe the cross sections of a solid. Find the volume of that solid (you do evaluate these problems).

6. The total exterior surface area of an empty cylinder, which is closed on one end, is 462 cm2. (a) Find the height (h) of the cylinder in terms of t and radius (r). Hence find the value of r for which (b) the volume of the cylinder is a maximum. ....... The diagram represents a right circular cone of height, h cm, and a base radius of r cm. If the sum of the height and base radius is 12 cm, (a) express r in terms of h. (b) the volume of the cone in terms of h. express determine the maximum volume of the cone. (c) ...... EXAMPLE 27

9. Sketch of the following two regions. Is one contained inside the other? A = {(x, y) | 4 x} B = {(x, y) | 4 \æ|}

It is not always possible to construct by ruler and compass, a square equal in area to the area of a circle.