Area (A) of the semi-circular = (1/2)Π r^{2} The volume = Ah (depth) = (1/2) Π r^{2}h = (1/2) * 3.14 * 5^{2}* 3 = 117.75 (ft^{3})

If the shape is a sphere, Volume of a sphere is = 4/3 r^{3} The depth of half of the sphere is the same as the radius. The volume of half sphere is 2/3 r^{3} I hope that it is helpful. If you need more information, please feel free to ask.

If I scan and send the problem, could you give me an idea of which formulas I need to get the total answer. I don't want the answers, just the formulas and how to get to the answer. Thanks.

1.6 In-Lab & Homework: Working Together for a Solution For this exercise, you will work in groups. Your lab instructor will divide you into small (3-4 person) groups. Here is the problem: Ocean America, an aquarium and theme park in Florida, has decided to build a new show pool for their orca (\killer whale") show. They want a pool that will surround the audience by the show as much as possible, while providing plenty of depth for the whales' tricks. There should also be shallow areas where the whales can interact with the trainers easily. A designer has produced the drawing seen below. Your group's responsibility is to determine the amount of salt water the new pool will require. The exact amount of water needs to be determined so that Ocean America can order the correct ltration system. Study the drawing of the pool, which has all the necessary measurements listed. Notice that the pool is 20 feet deep in most places, with the exception of the two shallow (lighter) areas, which are 3 feet deep. All measurements on the left and right sides of the pool are exactly the same. There are no variations in depth except those listed. The bottom is perfectly at, and meets the walls at a right angle. Also, the raised portions are completely solid from top to bottom (they are not just platforms) and they are perfectly semi-circular in shape. The round cut-out in the front is also a perfect semi-circle. The New Pool Using your team's knowledge of geometry along with other references (such as the internet or a math textbook), nd the cubic volume of the pool shown above in cubic feet (ft3), then use that to gure out how many gallons (g) of water the pool will hold. Your nal solution should list both the cubic volume (ft3) and the volume of water (g). Don't worry if the solution (or even the process for nding the solution) isn't immediately obvious... It isn't meant to be. The real exercise here is to think about the best way to divide the problem into smaller sub-problems and solve each of those, eventually nding a solution to the problem as a whole. Divide the work among the team as necessary, but be sure that everyone understands how the nal answer was achieved.

1 Document the process you use to solve the problem. Keep notes of the following: How did you break the problem down? What formula(s) are needed? Where did you nd the necessary formulas? What did each team member contribute to the solution? The solution to each (simplied) part of the problem The nal solution When you have arrived at a solution, each team member should document his/her solution in a plain-text document (use Notepad or other plain text editor). Be sure to include all the items listed above. Be as descriptive as necessary to explain the process by which you computed your answer. Name the document \poolVolume.txt" and save it in your \My Documents" folder. When you nish, submit your solution to the homework portion of this lab assignment using LabSoft (as described above). If you aren't sure how to submit your solution, be sure to ask you lab instructor before leaving the lab! Be sure you have shown your solutions to the lab instructor before you leave the lab! File to Submit: poolVolume.txt If you have questions concerning this assignment, be sure to consult with your lab instructor before leaving the lab.

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