Question

Kim uses the Fermi process to estimate the number of buckets of rocks 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 25 inches and a diameter of 10 inches. She estimates the warehouse is 100 feet long, 50 feet wide, and 20 feet high. Which expression should Kim use in the process?

Answer 1

Answer:

2x10^8 / 2x10^3

Answer 2

The answer is n=2*10^8/2*10^3.

It is given that the buckets have a height of 25 inches and a diameter of 10 inches. The volume of a cylinder is

V=$\pi$r²h

V1= $\pi$(10/2)²(25)

=$\pi$(5)²(25)

=625$\pi$

=1963.495

The scientific notation is

V1= 1.963* 10³

≅2*10³

The warehouse is 100 feet long, 50 feet wide, and 20 feet long.

1 feet = 12 inches

The volume of a cube is

V=Length*breadth*height

Using the above conversion the volume of cube in cubic inches is  

V2=(100*12)*(50*12)*(20*12)

V2= 172800000

The scientific notation is

V2= 1.728*10^8

V2≅2*10^8

The number of buckets of rocks she could store in a warehouse is

n=2*10^8/2*10^3.

Learn more about volume of cylinder: https://brainly.com/question/971817

and volume of cube:https://brainly.com/question/1698835

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