MEDAL & FAN: (need a lot of help) 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: STEP 1: CALCULATIONS Main Show Tank Calculation: The main show tank has a radius of 60 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, show all work and calculatitions.
STEP 2: HOLDING TANK CACULATIONS: 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 30 feet and the height of tank #2 is 110 feet? You must explain your answer using words, show all work and calculations.
LAST STEP: Answer the following questions: please show all steps and provide any evidence needed in your solution. 4.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? 5.Using the information from #4, 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.
Hmm these are a lot of questions. Ill try my best. I might be wrong though.
You might get help faster by not posting so many problems at once. Try posting no more than 1 or 2 at a time. As for the first question: Find and write out the formula for the volume of a sphere of radius r.
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