C Challenge

43. Paper Folding Any rectangular sheet of paper can be rolled into a right cylinder in two ways.
    1. Use ordinary sheets of paper to model the two cylinders. Compute the volume of each cylinder. How do they compare?
    2. Of all sheets of paper with perimeter 39 in., which size can be rolled into a right cylinder with greatest volume? (Hint: Try making a table.)
44. Plumbing The outside diameter of a pipe is 5 cm. The inside diameter is 4 cm. The pipe is 4 m long. What is the volume of the material used for this length of pipe? Round your answer to the nearest cubic centimeter.
45. The radius of Cylinder B is twice the radius of Cylinder A. The height of Cylinder B is half the height of Cylinder A. Compare their volumes.

Standardized Test Prep

SAT/ACT

46. The water surface is 2.5 in. from the top of the cylindrical water tank below. About how much water is in the tank?

    

    1. 604  in . 3 604 , in , . cubed
    2. 636  in . 3 636 , in , . cubed
    3. 668  in . 3 668 , in , . cubed
    4. 763  in . 3 763 , in , . cubed
47. Which statement is logically equivalent to the following statement? If a figure is a rhombus, then it has four sides.
    6. If a figure is not a rhombus, then it does not have four sides.
    7. If a figure is a rectangle, then it has four sides.
    8. If a figure does not have four sides, then it is not a rhombus.
    9. If a figure has four sides, then it could be a rhombus.
48. Which of the following is NOT an undefined term?
    1. point
    2. line
    3. ray
    4. plane

Short Response

49. How is the formula for finding the lateral area of a cylinder similar to the formula for finding the area of a rectangle?

Mixed Review

See Lesson 11-3.

Find the lateral area of each figure to the nearest tenth.

50. a right circular cone with height 12 mm and radius 5 mm
51. a regular hexagonal pyramid with base edges 9.2 ft long and slant height 17 ft

Get Ready! To prepare for Lesson 11-5, do Exercises 52 and 53.

See Lesson 8-1.

52. Find h in the figure below.

    

53. A right triangle has hypotenuse 300 ft and leg 180 ft. What is the length of the other leg?

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