Industrial Maintenance Technician Practice Test 2025 - Free Maintenance Technician Practice Questions and Study Guide

The formula for the volume of a cylinder is indeed given by V = πR²H. In this formula, R represents the radius of the base of the cylinder, H indicates the height of the cylinder, and π (pi) is a mathematical constant approximately equal to 3.14159.

To understand why this formula is correct, it is essential to visualize a cylinder as a series of circular bases stacked on top of each other. The area of the base of the cylinder is calculated using the formula for the area of a circle, which is A = πR². To find the volume of the cylinder, you then multiply the area of the base (πR²) by the height (H) of the cylinder. This effectively adds together the area of the base for every unit of height, leading to the overall volume.

The other provided formulas do not accurately describe the volume of a cylinder. For instance, one option calculates the volume of a sphere, while another incorrectly suggests an additive relationship instead of a multiplication of area by height. Recognizing the specific relationships between the shapes and dimensions is crucial in mastering concepts in industrial maintenance and related fields.