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A completely full cylindrical storage tank of Ski with a diameter of 60 feet and a

height of 50 feet sprung a leak. You are able to catch the liquid in rectangular prisms
with the dimensions 5ft by 6ft by 10ft. How many rectangular prisms are needed?
Justify your answer by writing sentences and showing your work.

User Musicmatze
by
5.2k points

1 Answer

4 votes

Answer:

  • 471

Explanation:

Volume of liquid in the tank:

  • V = πr²h = πd²h/4
  • V = 3.14*60²*50/4 = 141300 ft³

Volume of each prism:

  • V = lwh
  • V = 5*6*10 = 300 ft³

Number of prisms needed:

  • 141300/300 = 471
User Kuldip Saini
by
4.9k points