30. Swimming Pool The approximate dimensions of an Olympic-size swimming pool are 164 ft by 82 ft by 6.6 ft.
    1. Find the volume of the pool to the nearest cubic foot.
    2. If 1 ft 3 ≈ 7.48  gal  , 1 , ft cubed . almost equal to , 7.48 , gal , comma  about how many gallons does the pool hold?

31. Writing The figures below can be covered by equal numbers of straws that are the same length. Describe how Cavalieri's Principle could be adapted to compare the areas of these figures.

    

32. Algebra The volume of a cylinder is 600 π  cm 3 . 600 pi . cm cubed , .  The radius of a base of the cylinder is 5 cm. What is the height of the cylinder?

33. Coordinate Geometry Find the volume of the rectangular prism below.

    

34. Algebra The volume of a cylinder is 135 π  cm 3 . 135 pi . cm cubed , .  The height of the cylinder is 15 cm. What is the radius of a base of the cylinder?
35. Landscaping To landscape her 70 ft-by-60 ft rectangular backyard, your aunt is planning first to put down a 4-in. layer of topsoil. She can buy bags of topsoil at $ 2.50  per  3 - ft 3 dollars , 2.50 , per , 3 minus , ft cubed  bag, with free delivery. Or, she can buy bulk topsoil for $ 22.00 / yd 3 , dollars , 22.00 , slash , yd cubed , comma  plus a $ 20 dollars 20  delivery fee. Which option is less expensive? Explain.

36. The closed box below is shaped like a regular pentagonal prism. The exterior of the box has base edge 10 cm and height 14 cm. The interior has base edge 7 cm and height 11 cm. Find each measurement.

    

    1. the outside surface area
    2. the inside surface area
    3. the volume of the material needed to make the box

A cylinder has been cut out of each solid. Find the volume of the remaining solid. Round your answer to the nearest tenth.

Visualization Suppose you revolve the plane region completely about the given line to sweep out a solid of revolution. Describe the solid and find its volume in terms of π.

39. the x-axis
40. the y-axis
41. the line y = 2 y equals 2
42. the line x = 5 x equals 5

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