17. Reason abstractly. An architect uses a cylindrical tube to ship blueprints to a client. The height of the tube plus twice its radius must be less than 60 cm. a. Write an expression for h, the...

Extracted text: 17. Reason abstractly. An architect uses a cylindrical tube to ship blueprints to a client. The height of the tube plus twice its radius must be less than 60 cm. a. Write an expression for h, the height of the tube, in terms of r, the radius of the tube. b. Write an expression for V, the volume of the tube, in terms of r, the radius of the tube. c. Find the radius that produces the maximum volume. d. Find the maximum volume of the tube.