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# Need some help

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Jackson uses the Fermi process to estimate the number of buckets of gravel he could store in a warehouse. The buckets are shaped like cylinders. The warehouse is shaped like a rectangular prism.

He estimates the buckets have a height of 25 inches and a diameter of 20 inches.

He estimates the warehouse is 300 feet wide, 150 feet long, and 10 feet high.

Which expression should Jackson use in the process?

A.) 5*10^6 / 8*10^3

B.)  5*10^7 / 8*10^4

C.)  8*10^9 / 8 * 10^4

D.)  8*10^8 / 8*10^3

Apr 11, 2018

#1
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Volume of a bucket=10^2 x pi x 25 =~7,850 in^3. You round this next power of 10 =8 x 10^3

Volume of the warehouse =300 x 150 x 10 =450,000 ft^3. First, you convert this to cubic inches:

450,000 x 12^3 =~778,000,000 in^3, which you will round up to next whole integer =800,000,000 =

8 x 10^8. Now, you will divide this by the volume of 1 bucket:

8*10^8 / 8*10^3 - and this would be the Fermi Process of estimatation.

Apr 11, 2018
#2
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Thanks for the primer, guest.....I was not familiar with this technique...!!!!

Apr 11, 2018
edited by CPhill  Apr 11, 2018