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

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

• A. Length x Width x Height
• B. πr²h
• C. r²
• D. Area x Height

Answer: (B)

The volume of a cylinder is calculated using the formula πr²h, where "π" (pi) represents a constant approximately equal to 3.14159, "r" is the radius of the base of the cylinder, and "h" is the height of the cylinder. This formula is derived from the fact that the base of a cylinder is a circle, and the area of a circle is calculated with the formula A = πr². To find the volume of the cylinder, this base area (A) is then multiplied by the height (h), resulting in the complete formula: Volume = Base Area × Height = πr² × h. This accurately represents the three-dimensional space occupied by the cylinder. The other options do not correctly represent the calculation for the volume of a cylinder. Length x Width x Height pertains to rectangular prisms, r² represents only the area of the base without incorporating height, and Area x Height, while conceptually close, does not specify the base area as being circular.

The volume of a cylinder is calculated using the formula πr²h, where "π" (pi) represents a constant approximately equal to 3.14159, "r" is the radius of the base of the cylinder, and "h" is the height of the cylinder.

This formula is derived from the fact that the base of a cylinder is a circle, and the area of a circle is calculated with the formula A = πr². To find the volume of the cylinder, this base area (A) is then multiplied by the height (h), resulting in the complete formula: Volume = Base Area × Height = πr² × h. This accurately represents the three-dimensional space occupied by the cylinder.

The other options do not correctly represent the calculation for the volume of a cylinder. Length x Width x Height pertains to rectangular prisms, r² represents only the area of the base without incorporating height, and Area x Height, while conceptually close, does not specify the base area as being circular.