General Contractor Practice Exam

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What formula is used to calculate the volume of a cylinder?

V = 2πrl
V = πr²h
V = ∏r²l
V = r² + h

The correct answer is: V = ∏r²l

The formula used to calculate the volume of a cylinder is represented by πr²h, where "r" stands for the radius of the base of the cylinder, "h" represents the height of the cylinder, and π (pi) is a mathematical constant approximately equal to 3.14159. This formula is derived from the concept that the volume of a cylinder can be thought of as the area of the circular base multiplied by the height of the cylinder. To understand this, start by calculating the area of the circular base, which is given by the formula A = πr². Once you have the area of the base, multiplying it by the height of the cylinder (h) provides the total volume, leading to V = πr²h. The other formulas listed do not accurately represent the calculation for the volume of a cylinder due to either incorrect application of geometric principles or they represent different shapes or concepts entirely. For example, the formula that includes "l" instead of "h" may be confused with a different solid or context. Therefore, the correct choice clearly articulates the proper method for determining a cylinder's volume.