Hello, I really appreciate your help! Thanks!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
Accepted Solution
A:
Answer: 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__The volume of the warehouse is (250 ft)(80 ft)(20 ft) = 400,000 ft³ = 4×10^5 ft³The conversion to cubic inches is ... (4×10^5 ft³)(1728 in³/ft³) = 4×1.727×10^8 in³ ≈ 7×10^8 in³Dividing 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