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.

Listed below are time intervals (min) between eruptions of a geyser. assume that the "recent" times are within the past few years, the "past" times are from around 20 years ago, and that the two samples are independent simple random samples selected from normally distributed populations. do not assume that the population standard deviations are equal. does it appear that the mean time interval has changed? is the conclusion affected by whether the significance level is 0.10 or 0.01? recent 78 90 90 79 57 101 62 87 71 87 81 84 57 80 74 103 62 past 88 89 93 94 65 85 85 92 87 91 89 91 follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. use a significance level of 0.10. is the conclusion affected by whether the significance level is 0.10 or 0.01? answer choices below: a) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.01 but is not rejected when the significance level is 0.10. b) no, the conclusion is not affected by the significance level because h0 is not rejected regardless of whether a significance level of 0.10 or 0.01 is used. c) yes, the conclusion is affected by the significance level because h0 is rejected when the significance level is 0.10 but is not rejected when the significance level is 0.01. d) no, the conclusion is not affected by the significance level because h0 is rejected regardless of whether a significance level of 0.10 or 0.01 is used.