To find the volume of a cylinder, which formula is used?

To find the volume of a cylinder, which formula is used?

• A. Volume = 2πr²h
• B. Volume = πrh
• C. Volume = πr²h
• D. Volume = base × height

Answer: (C)

The formula for finding the volume of a cylinder is based on the relationship between the base area and the height of the cylinder. A cylinder has a circular base, and the area of a circle is calculated using the formula πr², where r is the radius of the base. To find the volume, you then multiply the area of the base by the height (h) of the cylinder. Therefore, you use the formula: Volume = base area × height, which translates to Volume = πr²h. This clearly demonstrates how the shape and dimensions of the cylinder contribute to its total capacity. In this context, the correct answer accurately reflects this relationship and captures the necessary components for calculating a cylinder's volume. The other options either contain incorrect multipliers or do not adequately represent the geometry of a cylinder's volume.

The formula for finding the volume of a cylinder is based on the relationship between the base area and the height of the cylinder. A cylinder has a circular base, and the area of a circle is calculated using the formula πr², where r is the radius of the base.

To find the volume, you then multiply the area of the base by the height (h) of the cylinder. Therefore, you use the formula: Volume = base area × height, which translates to Volume = πr²h. This clearly demonstrates how the shape and dimensions of the cylinder contribute to its total capacity.

In this context, the correct answer accurately reflects this relationship and captures the necessary components for calculating a cylinder's volume. The other options either contain incorrect multipliers or do not adequately represent the geometry of a cylinder's volume.