Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

How much soup can a can hold if it is six inches high with a diameter of 4 inches?

1. 50.27 in³

2. 60.44 in³

3. 75.36 in³

4. 80.00 in³

The correct answer is: 75.36 in³

To determine how much soup a can hold, we can calculate the volume of the cylinder representing the can. The formula for the volume \( V \) of a cylinder is given by: \[ V = \pi r^2 h \] where \( r \) is the radius of the base of the cylinder and \( h \) is the height. In this case, we know the height \( h \) is 6 inches. The diameter of the can is 4 inches, which means the radius \( r \) is half of that: \[ r = \frac{4 \text{ inches}}{2} = 2 \text{ inches} \] Now, substituting the values into the volume formula: \[ V = \pi (2 \text{ inches})^2 (6 \text{ inches}) \] Calculating the area of the base: \[ (2 \text{ inches})^2 = 4 \text{ square inches} \] Now substituting this back into the volume equation: \[ V = \pi \times 4 \text{ in}^2 \times 6 \text{ in} \] \[ V = 24\pi