55. You have an empty cone and a cylinder filled with water. The cone has a diameter of 8 and a height of 9. The cylinder has a diameter of 10 and a height of 12. If you dump the water from the cylinder into the cone until it is filled, what volume of water will remain in the cylinder

  252π ≈ 791.7 cubic units

Step-by-step explanation:

The relevant volume formulas are:

  cone: V = 1/3πr²h

  cylinder: V = πr²h

  the radius is half the diameter

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The volume of the cone is ...

  V = 1/3π(4²)(9) = 48π . . . cubic units

The volume of the cylinder is ...

  V = π(5²)(12) = 300π . . . cubic units

The volume of water remaining in the cylinder after the cone is filled is ...

  cylinder volume - cone volume

  = 300π -48π = 252π ≈ 791.7 . . . cubic units

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.