Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

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Question: 1 / 400

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

50.27 in³

60.44 in³

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

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80.00 in³

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Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

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