Ace the Officer Aptitude Rating (OAR) 2026 – Unleash Your Inner Officer!

The volume of a cylinder is calculated using the formula that incorporates both the area of the base and the height of the cylinder. In this case, the base of a cylinder is a circle, and the area of a circle is determined by the formula \( \pi r^2 \), where \( r \) is the radius of the circle. To find the volume, this area is then multiplied by the height \( h \) of the cylinder, leading to the formula \( \pi r^2 h \).

This formula effectively represents how much space is occupied within the cylinder by taking into account both its circular base and its vertical extent. The correct answer is representative of the geometric properties of three-dimensional shapes, where the base area is extended through height to yield volume.

Other options presented do not accurately define the volume of a cylinder. For instance, one option represents only the area of the base (not considering height), another corresponds to the volume of a sphere, and another pertains to the formula for the volume of a rectangular prism. Thus, option B is the accurate formula for calculating the volume of a cylinder.