What is the formula for calculating the volume of a cylinder?

What is the formula for calculating the volume of a cylinder?

• A. Volume = πr²h
• B. Volume = (1/3)πr²h
• C. Volume = 2πrh
• D. Volume = πd²h

Answer: (A)

The volume of a cylinder is calculated using the formula Volume = πr²h. In this formula, "r" represents the radius of the circular base of the cylinder, "h" is the height of the cylinder, and π (pi) is a mathematical constant approximately equal to 3.14159. The area of the base of the cylinder, which is a circle, is calculated using the formula for the area of a circle (A = πr²). To find the volume, you multiply the area of the base by the height of the cylinder, which results in the overall volume of the three-dimensional shape. This relationship makes the formula intuitive: you are essentially stacking up the circular base (a two-dimensional shape) along the height of the cylinder to fill the three-dimensional space. This is why the correct formula is associated with the radius squared and multiplied by the height.

The volume of a cylinder is calculated using the formula Volume = πr²h.

In this formula, "r" represents the radius of the circular base of the cylinder, "h" is the height of the cylinder, and π (pi) is a mathematical constant approximately equal to 3.14159. The area of the base of the cylinder, which is a circle, is calculated using the formula for the area of a circle (A = πr²). To find the volume, you multiply the area of the base by the height of the cylinder, which results in the overall volume of the three-dimensional shape.

This relationship makes the formula intuitive: you are essentially stacking up the circular base (a two-dimensional shape) along the height of the cylinder to fill the three-dimensional space. This is why the correct formula is associated with the radius squared and multiplied by the height.