Which expression correctly represents the volume of a cylinder given base area B and height H?

• A. Volume = Height × Radius
• B. Height = Volume / Base Area
• C. Volume = Base Area × Height
• D. Height = Base Area × Volume

Answer: (C)

Volume of a cylinder is found by multiplying the area of the base by its height. If the base area is B and the height is H, the volume is B × H. This directly uses the given quantities, so Volume = Base Area × Height is the right expression.

Using Radius would require converting to the base area first, since the base area depends on radius (but the problem gives the base area directly as B, not radius). The rearranged form Height = Volume / Base Area changes what the expression solves for and isn’t the requested way to express volume in terms of B and H. The last option would mix units improperly, since multiplying base area by volume does not yield height.