08.06 Module Eight Activity

A theme park company is opening a marine-inspired park in your city. They are in the process of designing the theatre where a killer whale show will take place. The following design is already under construction and will house the whales that perform in the show:

Step 1: Calculations

Main Show Tank Calculation:

  1. The main tank has a radius of 70 feet. What is the volume of the quarter-sphered sized tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.

Holding Tank Calculations:

  1. The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.

Density Calculation:

  1. In step 1, you found the volume (in cubic feet) of the main tank. If the maximum density of killer whales per cubic foot is 0.000011142, what is the maximum number of killer whales allowed in the main show tank at any given time? You must explain your answer using words, and you must show all work and calculations to receive credit.

Step 2: Design

  1. The stadium is in need of a medical pool to attend to injured or sick whales. The pool will be located adjacent to the holding tanks. Your job is to design a medical pool using a 3-dimensional polyhedral shape you learned about in this module. For safety reasons, the tank can be no more than one-fourth the volume of a holding tank. You will need to submit a 2-dimensional drawing, the dimensions, the volume of your pool, and proof that the pool's volume is no more than one-fourth the volume of a holding tank to your instructor.

Step 3: Reflections

Answer the following questions:

You must show all steps and provide any evidence needed in your solution to receive full credit

  1. The theme park company is building a scale model of the killer whale stadium main show tank for an investor's presentation. Each dimension will be made 6 times smaller to accommodate the mock-up in the presentation room. How many times smaller than the actual volume is the volume of the mock-up?
  2. Using the same information from #5, what percent of change occurred from the actual tank to the mock-up of the tank?
  3. If you were to take a cross section parallel to the base of one of the holding tanks, how would you describe the shape?
  4. Samples of the tank's water are taken daily to ensure the salt density is correct to maintain aquatic life. The following chart shows the past 2 days' samples:

Grams of salt per liter
of seawater / Approximate density
Normal / 35g / 3.5%
Day 1 sample / 34g / 3.4%
Day 2 sample / 28g / 2.8%

Describe the information in the chart using words. What do you think the information shown means? If you were in charge of the killer whale tank, what action might you take after seeing the samples shown above?

Step 4: What to Submit

Submit the following to your instructor:

  1. Your calculations and work for step 1
  2. Your design for step 2
  3. Your answers to the reflection questions for step 3

*Note: Please submit the written portion of this assignment using a word processing document or by copying and pasting into the assignment box.