Main Show Tank Calculation: The main tank has a radius of 70 feet. What is the volume of the quarter-sphere 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:

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:

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: Reflections

Answer the following questions:

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

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?

Using the information from #4, answer the following question by filling in the blank: The volume of the actual tank is % of the mock-up of the tank

If you were to take a cross section parallel to the base of one of the holding tanks, how would you describe the shape?

Step 3: What to Submit

Submit the following to your instructor:

Your calculations and work for step 1

Your answers to the reflection questions for step 2

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