Final answer:
The volume of a cylindrical can is calculated using the formula V = πr²h, where π is pi, r is the radius, and h is the height.
Step-by-step explanation:
The formula for the volume V of a closed cylindrical can with radius r is V = πr²h, where π (pi) is a constant approximately equal to 3.14159, r is the radius of the base of the cylinder, and h is the height of the cylinder. To find the volume, you would perform the following steps:
- Measure the radius of the base of the cylinder (r).
- Measure the height of the cylinder (h).
- Calculate the area of the base by squaring the radius and multiplying by π, so πr².
- Multiply that area by the height of the cylinder to calculate the volume, giving the final formula V = πr²h.
For example, if you have a cylinder with a radius of 0.750 cm and a height of 5.25 cm, you would calculate the volume as 3.142 × (0.750 cm)² × 5.25 cm = 9.278 cm³.
Understanding the volume of a cylinder is vital in various fields such as engineering, manufacturing, and even in everyday situations where storage containers are used. The concept of volume is fundamental in mathematics, especially when dealing with three-dimensional shapes.