What formula is used to compute the volume of a cylinder?

• A. V = pi * radius^2 * height
• B. V = 2 * pi * radius * height
• C. V = pi * height^2
• D. V = diameter * height

Answer: (A)

Volume of a cylinder is found by multiplying the area of its circular base by its height. The base is a circle with area π r^2, where r is the radius. Extending that area through the height h gives V = π r^2 h. This is the correct formula because it measures how much space the entire circular cross-section sweeps out along the height.

For example, if the radius is 3 and the height is 5, the volume is π × 3^2 × 5 = 45π, about 141.37 cubic units.

The other expressions don’t fit: 2π r h represents the lateral surface area, not volume; π h^2 ignores the radius entirely and has mismatched units; and diameter × height uses diameter instead of radius and still misses the squared radius factor.