AFCT Arithmetic Reasoning Practice Test 2025 – Comprehensive Exam Prep

Question: 1 / 400

If a can holds 75.36 cubic inches of soup, what is its height if the diameter is 4 inches?

5.5 inches

6 inches

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

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7 inches

8 inches

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