For a cylinder, how is the volume related to the base area and height?

• A. Volume equals height divided by base area
• B. Volume equals base area times height
• C. Volume equals base area plus height
• D. Volume equals circumference times height

Answer: (B)

Volume in a cylinder comes from stacking equal slices across its height. Each slice has the same base area as the whole cylinder, so the total volume is that base area times how tall the stack is. In formula form, V = B × h. For a circular base, B = πr^2, giving V = πr^2 h. The other ideas don’t fit: dividing height by base area isn’t how volume accumulates, adding base area and height isn’t a volume measure, and circumference times height gives the lateral surface area, not the volume.