Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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

1. 60.48 in cubed

2. 70.56 in cubed

3. 75.36 in cubed

4. 80.00 in cubed

The correct answer is: 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