The cylinder volume is calculated using which formula?

The cylinder volume is calculated using which formula?

• A. π r² h
• B. π r h
• C. π d² h /4
• D. 2π r h

Answer: (A)

Volume of a cylinder comes from the area of the circular base times its height. The base area is π times the radius squared, so the volume is V = π r² h. This form is most straightforward when you’re given the radius. If you’re given the diameter, you can convert using r = d/2, giving V = π d² h / 4, which is the same value. The other expressions either describe a surface feature (like the lateral area 2π r h) or omit the r² term, so they don’t represent the volume correctly.

Volume of a cylinder comes from the area of the circular base times its height. The base area is π times the radius squared, so the volume is V = π r² h. This form is most straightforward when you’re given the radius. If you’re given the diameter, you can convert using r = d/2, giving V = π d² h / 4, which is the same value. The other expressions either describe a surface feature (like the lateral area 2π r h) or omit the r² term, so they don’t represent the volume correctly.