Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

Question: 1 / 400

What is the volume in cubic inches of a soup can that is 6 inches high with a diameter of 4 inches?

60.48 in cubed

70.56 in cubed

75.36 in cubed

To determine the volume of a cylindrical soup can, you can use the formula for the volume of a cylinder, which is given by:

\[ V = \pi r^2 h \]

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

In this case, the height \( h \) of the soup can is 6 inches. The diameter is provided as 4 inches, which means the radius \( r \) can be calculated as half of the diameter:

\[ r = \frac{diameter}{2} = \frac{4 \, \text{inches}}{2} = 2 \, \text{inches} \]

Now, plug the values into the volume formula:

\[ V = \pi (2 \, \text{inches})^2 (6 \, \text{inches}) \]

Calculating \( r^2 \):

\[ (2 \, \text{inches})^2 = 4 \, \text{inches}^2 \]

Now substitute \( r^2 \) back into the equation:

\[ V = \pi (4 \, \text{in

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80.00 in cubed

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