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.