You are given an upright, hollow cylinder that will be used to hold water. It is

Question

You are given an upright, hollow cylinder that will be used to hold water. It is sealed on the bottom end but is open at the top end. The cylinder’s radius is 15. cm, and its length is 120 cm.

The cylinder is initially completely empty. The spout of a water dispenser is positioned directly over the open end of the cylinder. The dispenser drips a 10 mL drop of water into it every 5 seconds. The size of each drop is always the same.

How many drops of water does it take to fill the entire volume of the cylinder?

Determine both the best and worst case possibilities. Round up your final answers to the next higher integer, e.g., 1.2 and 1.5 drops both round up to 2 drops.

P.S: I solved the problem but I couldn’t figure out what he means by saying “Determine both the best and worst case possibilities”. Please explain.

Please show steps and analyses.

Explanation / Answer

r=15cm

h=120cm

volume of cylinder=r^2*h=84823.00165 cm^3

1cm^=1 mL

so 84823.00165 cm^3=84823.00165 mL

1 drop=10 mL

total drop=84823.00165/10=8482.3=> almost equal to 8483 drops (approx)

Best case and worst case have no meaning here.He must have given other numbers to determine best and worst case

Best case is when everything is happening as planned i.e. drop size is always 10 mL ,cylinder is upright etc

Worst case is the worst that can happen

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