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

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

• A. Volume = π × radius² × height
• B. Volume = π × diameter × height
• C. Volume = 2 × π × radius × height
• D. Volume = π × radius²

Answer: (A)

The volume of a cylinder can be calculated using the formula that incorporates the area of the circular base and the height of the cylinder. The base of a cylinder is a circle, and the area of a circle is determined by the formula π times the radius squared (πr²). To find the volume, you multiply the area of the base by the height of the cylinder. Hence, the complete formula for the volume of a cylinder is Volume = π × radius² × height. This understanding highlights that the correct answer effectively captures both necessary elements: the geometric properties of the cylinder's base and its dimensional extension along the height.

The volume of a cylinder can be calculated using the formula that incorporates the area of the circular base and the height of the cylinder. The base of a cylinder is a circle, and the area of a circle is determined by the formula π times the radius squared (πr²). To find the volume, you multiply the area of the base by the height of the cylinder. Hence, the complete formula for the volume of a cylinder is Volume = π × radius² × height.

This understanding highlights that the correct answer effectively captures both necessary elements: the geometric properties of the cylinder's base and its dimensional extension along the height.