What expression is used to find the volume of a cylinder?

What expression is used to find the volume of a cylinder?

• A. V = 2πr²h
• B. V = πr²h
• C. V = πdh
• D. V = 2πrh

Answer: (B)

The expression to find the volume of a cylinder is V = πr²h. In this formula, V represents the volume, r is the radius of the base of the cylinder, and h is the height. The formula is derived from the fact that the volume of a cylinder can be thought of as the area of the circular base (which is πr²) multiplied by the height of the cylinder (h). This makes the volume calculation intuitive: if you calculate the area of the base (the circle) and then extend that area vertically for the height of the cylinder, you get the total volume. This formula is foundational in geometry and helps students visualize and compute the capacity of cylindrical shapes in various applications.

The expression to find the volume of a cylinder is V = πr²h. In this formula, V represents the volume, r is the radius of the base of the cylinder, and h is the height. The formula is derived from the fact that the volume of a cylinder can be thought of as the area of the circular base (which is πr²) multiplied by the height of the cylinder (h).

This makes the volume calculation intuitive: if you calculate the area of the base (the circle) and then extend that area vertically for the height of the cylinder, you get the total volume. This formula is foundational in geometry and helps students visualize and compute the capacity of cylindrical shapes in various applications.