Hello, i really appreciate your ! !
tricia uses the fermi process to estimate the number of buckets of sand she could store in a warehouse. the buckets are shaped like cylinders. the warehouse is shaped like a rectangular prism.
she estimates the buckets have a height of 15 inches and a diameter of 20 inches.
she estimates the warehouse is 250 feet long, 80 feet wide, and 20 feet high.
which expression should tricia use in the process?
a) 7×10^9/5×10^4
b) 5×10^6/5×10^3
c) 7×10^8/5×10^3
d) 5×10^7/5×10^4

  C)  7×10^8/(5×10^3)

Step-by-step explanation:

In cubic inches, the volume of a bucket of sand is ...

  (π/4)(20 in)²(15 in) = 1500π in³ ≈ 5×10^3 in³

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The volume of the warehouse is

  (250 ft)(80 ft)(20 ft) = 400,000 ft³ = 4×10^5 ft³

The conversion to cubic inches is ...

  (4×10^5 ft³)(1728 in³/ft³) = 4×1.727×10^8 in³ ≈ 7×10^8 in³

Dividing the warehouse volume by the bucket volume gives the approximate number of buckets that will fit in the warehouse:

  (7×10^8)/(5×10^3) . . . . . matches choice C

7x10^8/5x10^3

Step-by-step explanation: I got it correct on the test :)

the answer is (2x+8)²= 16