What does the volume of a cylinder depend on?

• A. The base area and height
• B. The perimeter and area
• C. The height and circumference
• D. The length and width

Answer: (A)

The volume of a cylinder is determined by the area of its base and its height. The formula for calculating the volume is given by the equation ( V = A \times h ), where ( V ) is the volume, ( A ) is the area of the base, and ( h ) is the height of the cylinder.

In the case of a cylinder, the base is a circle, and the area of a circle can be calculated using the formula ( A = \pi r^2 ), with ( r ) being the radius of the base. By multiplying this area by the height of the cylinder, you obtain the total volume. This shows that both the base area and the height are essential components for calculating the volume of a cylinder, confirming that the choice that includes these two factors is indeed the correct one. The other options either include irrelevant measurements or formulas that do not apply to the volume of a cylinder.