Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

To find the height of the can, which is in the shape of a cylinder, we use the formula for the volume of a cylinder: \[ V = \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height. Given that the diameter of the can is 4 inches, the radius \( r \) is half of the diameter: \[ r = \frac{4}{2} = 2 \text{ inches} \] Now, substituting the known values into the volume formula: \[ 75.36 = \pi (2)^2 h \] This simplifies to: \[ 75.36 = \pi (4) h \] Next, we can express \( \pi \) approximately as 3.14 (though using the exact value of \( \pi \) would yield a more precise answer). Thus, we have: \[ 75.36 = 12.56 h \] To isolate \( h \), we divide both sides by 12.56: \[ h = \frac{75.36}{12.56} \] Calculating this gives: \[ h \approx