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How many apples can fit in a 6x403 kilometer box, assuming that each apple is 8.5 centimeters in diameter and 5.3 centimeters in height? Explain your answer and elaborate on why apples are green or red.

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Final answer:

Approximately 8,794,938 apples can fit in the 6x403 kilometer box. The color of an apple depends on the type of pigment present in its skin.

Step-by-step explanation:

To find out how many apples can fit in a 6x403 kilometer box, we need to calculate the volume of the box and the volume of each apple.

The volume of the box is calculated by multiplying its length, width, and height: 6 km x 403 km x 8.5 cm = 2,448 km^3.

The volume of each apple is calculated by using the formula for the volume of a cylinder: volume = πr^2h. Since the diameter of each apple is 8.5 cm, the radius is half of the diameter, which is 4.25 cm. The height is 5.3 cm. Substituting these values into the formula, we get a volume of approximately 278.19 cm^3 for each apple.

To determine the number of apples that can fit in the box, we divide the volume of the box by the volume of each apple: 2,448 km^3 ÷ 278.19 cm^3 = 8794937.94 apples.

Therefore, approximately 8,794,938 apples can fit in the 6x403 kilometer box.

As for the question of why apples are green or red, the color of an apple depends on the type of pigment present in its skin. Red apples contain a pigment called anthocyanin, which gives them their red color. Green apples have a higher concentration of chlorophyll, which masks the other pigments and results in a green color. Some apples may also have a combination of red and green pigments, resulting in a speckled or striped appearance.

User Mahesh M
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