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

• A. πr^2h
• B. 2πr^2h
• C. πdh
• D. r^2h

Answer: (A)

The formula for calculating the volume of a cylinder is given by πr²h, where r is the radius of the circular base and h is the height of the cylinder. This formula is derived from the fact that the volume of a cylinder can be determined by multiplying the area of the base by the height.

The area of the circular base is calculated using the formula for the area of a circle, which is πr². Once you have the area of the base, multiplying this by the height (h) of the cylinder gives you the total volume: Volume = Area of base × Height = πr² × h.

This relationship holds true for any right circular cylinder, making it a fundamental concept in geometry. Understanding this formula aids in solving various problems involving cylinders in mathematics, physics, engineering, and real-world applications.