Question

HELP PLEASE!

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 long.

Which expression should Kim use in the process?

Answer 1

2×1082×103

Explanation:

Just took the unit test. Image as proof

Answer 2

The correct option is 3.

Explanation:

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 r^2h`

`V_1=\pi ((10)/(2))^2(25)`

`V_1=\pi (5)^2(25)`

`V_1=625\pi`

`V_1=1963.49540849`

The scientific notation is

`V_1=1.963* 10^3`

`V_1\approx 2* 10^3`

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

`V_2=(100* 12)* (50* 12)* (20* 12)`

`V_2=172800000`

The scientific notation is

`V_2=1.728* 10^8`

`V_2\approx 2* 10^8`

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

`n=(V_2)/(V_1)`

`n=(2* 10^8)/(2* 10^3)`

Therefore the correct option is 3.