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...

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-sphere sized tank? Round your answer to the nearest whole number. You must show all work and calculations to receive credit.

Holding Tank Calculations:

2.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 show all work and calculations to receive credit.

Density Calculation:

3.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 show all work and calculations to receive credit.

Step 2: Reflections

Answer the following questions:

4.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?

5.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

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