STEP 1: Calculations
#1) Calculate the volume of the main show tank (quarter sphere).
R...
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Mathematics, 01.12.2020 08:00 netflixacc0107
STEP 1: Calculations
#1) Calculate the volume of the main show tank (quarter sphere).
Radius (r) = _ ft Work Space:
*Remember to divide your answer by 4 because the main show tank is a quarter sphere!
The main show tank has a volume of _ ft3.
#2) Calculate the volume of the two holding tanks (half cylinders).
Radius (r) = _ ft Work Space:
Height (h) = _ ft
*Remember to divide your answer by 2 because the holding tanks are half cylinders!
Each holding tank has a volume of _ ft3.
STEP 2: Partner Work
*This section is excused; you do not need to complete #3.
STEP 3: Reflection
#4) Calculate the volume of a scale model of the main show tank.
Radius (r) of main show tank = _ ft
Radius of scale model is 1/6 that of the main show tank.
Divide the radius above by 6 to find the radius of the model.
Radius of model = _ ft
Work Space:
*Remember to divide your answer by 4 because the main show tank is a quarter sphere!
The scale model of the main show tank has a volume of _ ft3.
#5) Calculate the volume percent increase of the main show tank compared with its scale model.
Volume of main show tank (from #1): _ ft3
Volume of scale model (from #4): _ ft3
To find the percent increase, divide the main show tank’s volume by the scale model’s volume:
_ ÷ _ = _
Now multiply your answer by 100 to convert to a percent! (This will be a BIG number!)
The volume of the original main show tank is _ % of the mock-up of the tank.
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