+490 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
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.
