What is the formula for the volume of a cylinder?

What is the formula for the volume of a cylinder?

• A. πr²h
• B. 2πr²h
• C. πr²h/3
• D. 4πr²h

Answer: (A)

The volume of a cylinder is calculated by multiplying the base area by the height. The base of a cylinder is a circle, which has an area given by the formula πr², where r is the radius of the base. Therefore, to find the volume, you multiply the area of the base (πr²) by the height (h) of the cylinder. This results in the formula for the volume of a cylinder being πr²h. The other options suggest variations on the correct formula. For example, adding factors like 2 or 4, or dividing by 3, does not apply to the volume calculation of a cylinder and would misrepresent the relationship between the base area and its height. Understanding this relationship is fundamental in grasping how volume is derived in cylindrical shapes.

The volume of a cylinder is calculated by multiplying the base area by the height. The base of a cylinder is a circle, which has an area given by the formula πr², where r is the radius of the base. Therefore, to find the volume, you multiply the area of the base (πr²) by the height (h) of the cylinder. This results in the formula for the volume of a cylinder being πr²h.

The other options suggest variations on the correct formula. For example, adding factors like 2 or 4, or dividing by 3, does not apply to the volume calculation of a cylinder and would misrepresent the relationship between the base area and its height. Understanding this relationship is fundamental in grasping how volume is derived in cylindrical shapes.