Officer Aptitude Rating (OAR) Test 2025 – 400 Free Practice Questions to Pass the Exam

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What is the effective volume of a cylinder with a height of 10 inches and a radius of 2 inches?

40π cubic inches

To determine the effective volume of a cylinder, we use the formula for the volume of a cylinder, which is given by:

\[ V = \pi r^2 h \]

In this formula, \( V \) represents the volume, \( r \) is the radius of the base of the cylinder, and \( h \) is the height of the cylinder.

For the given cylinder with a radius of 2 inches and a height of 10 inches, we can substitute the values into the formula:

1. First, calculate the area of the base using the radius:

- \( r^2 = 2^2 = 4 \)

2. Next, multiply the area of the base by the height:

- \( V = \pi (4) (10) = 40\pi \)

Thus, the effective volume of the cylinder is \( 40\pi \) cubic inches. This matches the correct answer, confirming that the calculations align with the geometrical properties of a cylinder.

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