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A soup can has a height of 4 inches and a radius of 2.5 inches. What is the volume of soup in cubic inches that would fill one soup can?

A) [tex]78.5 \, \text{in}^3[/tex]

B) [tex]62.8 \, \text{in}^3[/tex]

C) [tex]125.7 \, \text{in}^3[/tex]

Answer :

To find the volume of the soup can, we use the formula for the volume of a cylinder. The formula is:

[tex]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]

Here, the radius of the soup can is 2.5 inches, and the height is 4 inches.

1. First, calculate the square of the radius:
[tex]\[ \text{radius}^2 = 2.5 \times 2.5 = 6.25 \][/tex]

2. Next, multiply the squared radius by the height:
[tex]\[ 6.25 \times 4 = 25 \][/tex]

3. Finally, multiply this result by [tex]\(\pi\)[/tex] (approximately 3.14159):
[tex]\[ 25 \times 3.14159 \approx 78.54 \][/tex]

So, the volume of the soup can is approximately [tex]\( 78.5 \, \text{cubic inches} \)[/tex].

Thus, the correct answer is: A) [tex]\( 78.5 \, \text{in}^3 \)[/tex].

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Rewritten by : Jeany