Which mathematical constant is used in the cylinder volume formula V = pi r^2 h?

Which mathematical constant is used in the cylinder volume formula V = pi r^2 h?

• A. Pi
• B. Radius
• C. Height
• D. Volume

Answer: (A)

The key idea is that a cylinder’s volume is found by multiplying the area of its circular base by its height. The area of a circle is given by pi times the radius squared, and pi is that fixed constant that relates a circle’s circumference to its diameter, appearing in the area formula for any circle. Since the base area uses this constant, the cylinder volume formula becomes V = pi r^2 h. The radius and height describe the cylinder’s size, while pi is the constant that ties the geometry of the circle into the volume calculation.

The key idea is that a cylinder’s volume is found by multiplying the area of its circular base by its height. The area of a circle is given by pi times the radius squared, and pi is that fixed constant that relates a circle’s circumference to its diameter, appearing in the area formula for any circle. Since the base area uses this constant, the cylinder volume formula becomes V = pi r^2 h. The radius and height describe the cylinder’s size, while pi is the constant that ties the geometry of the circle into the volume calculation.