An entertainment company is opening a theme park in a nearby city. They are in the process of designing the theatre where a water show will take place. The following design is already under construction and will house the dolphins that perform in the show

1.) The main show tank has a radius of 70 feet and forms a quarter-sphere. What is the volume of the quarter-sphere shaped 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.

2.) The holding tanks (there are two of them) 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 35 feet and the height of tank #2 is 125 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.

3.) The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made one eight of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank? (Show all steps to receive full credit.)

4.) Using the information from #3, answer the following question by filling in the blank: The volume of the original main show tank is % of the mock-up of the tank. (Show all steps to receive full credit.)