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

Answer:

2×1082×103

Step-by-step explanation:

Just took the unit test. Image as proof

Answer 2

Answer:

The correct option is 3.

Step-by-step 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

$V=\pi r^2h$

$V_1=\pi (\frac{10}{2})^2(25)$

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

$V_1=625\pi$

$V_1=1963.49540849$

The scientific notation is

$V_1=1.963\times 10^3$

$V_1\approx 2\times 10^3$

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

1 feet = 12 inches

The volume of a cube is

$V=length\times breadth \times height$

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

$V_2=(100\times 12)\times (50\times 12)\times (20\times 12)$

$V_2=172800000$

The scientific notation is

$V_2=1.728\times 10^8$

$V_2\approx 2\times 10^8$

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

$n=\frac{V_2}{V_1}$

$n=\frac{2\times 10^8}{2\times 10^3}$

Therefore the correct option is 3.