In the cylinder volume formula π r^2 h, which pair of quantities do r and h typically represent?

In the cylinder volume formula π r^2 h, which pair of quantities do r and h typically represent?

• A. Radius and height
• B. Diameter and height
• C. Radius and diameter
• D. Height and circumference

Answer: (A)

The volume of a cylinder comes from the area of its circular base, π r^2, times its height, h. Here r is the radius of the circular base—the distance from the center of the circle to its edge—and h is the height, the distance between the two bases along the cylinder’s axis. So the quantities represented are radius and height. Diameter isn’t used directly in this formula (it’s 2r, something you’d convert to radius if needed). Circumference is a different measure related to the circle’s edge and isn’t part of the volume expression.

The volume of a cylinder comes from the area of its circular base, π r^2, times its height, h. Here r is the radius of the circular base—the distance from the center of the circle to its edge—and h is the height, the distance between the two bases along the cylinder’s axis. So the quantities represented are radius and height.

Diameter isn’t used directly in this formula (it’s 2r, something you’d convert to radius if needed). Circumference is a different measure related to the circle’s edge and isn’t part of the volume expression.