What formula represents the volume of a cylinder?

What formula represents the volume of a cylinder?

• A. 3.14(r^2)
• B. l x w x h
• C. 3.14(r^2)h
• D. 2πr

Answer: (C)

The formula that represents the volume of a cylinder is indeed 3.14(r^2)h. This formula is derived from the geometric principles of a cylinder, which consists of two circular bases and a height. The volume of a cylinder can be thought of as the area of one of the circular bases multiplied by the height of the cylinder. The area of a circle is calculated using the formula πr^2, where "r" is the radius of the circle. When you multiply this area by the height (h) of the cylinder, you arrive at the formula for the volume: V = πr^2h. In this case, using 3.14 as an approximation for π allows for easier calculations. Therefore, the formula 3.14(r^2)h effectively captures the relationship between the radius, height, and the volume of the cylinder. This is why it represents the volume correctly and aligns with the mathematical principles governing three-dimensional shapes.

The formula that represents the volume of a cylinder is indeed 3.14(r^2)h. This formula is derived from the geometric principles of a cylinder, which consists of two circular bases and a height.

The volume of a cylinder can be thought of as the area of one of the circular bases multiplied by the height of the cylinder. The area of a circle is calculated using the formula πr^2, where "r" is the radius of the circle. When you multiply this area by the height (h) of the cylinder, you arrive at the formula for the volume: V = πr^2h.

In this case, using 3.14 as an approximation for π allows for easier calculations. Therefore, the formula 3.14(r^2)h effectively captures the relationship between the radius, height, and the volume of the cylinder. This is why it represents the volume correctly and aligns with the mathematical principles governing three-dimensional shapes.