Final answer:
The volume of a cylinder with a diameter of 0.95 cm and a height of 1.91 cm is calculated using the formula V = πr²h, which results in approximately 1.35 cm³.
Step-by-step explanation:
To calculate the volume of a metal cylinder, you use the formula V = πr²h, where V is the volume, π is the constant (approximately 3.14159), r is the radius of the cylinder, and h is the height of the cylinder. First, you need to find the radius, which is half of the diameter. For a diameter of 0.95 cm, the radius is 0.95 cm / 2 = 0.475 cm. Then you substitute the values into the formula:
V = 3.14159 × (0.475 cm)² × 1.91 cm
Calculating this gives a volume of:
V = 3.14159 × (0.225625 cm²) × 1.91 cm
V = 3.14159 × 0.43094375 cm³
V = approximately 1.35 cm³
To calculate the volume of a metal cylinder, use the formula V = πr²h, where r is the radius and h is the height of the cylinder.
In this case, the diameter of the cylinder is given as 0.95 cm, so the radius is half of that, which is 0.475 cm.
Using the given height of 1.91 cm, we can plug the values into the formula to calculate the volume:
V = 3.142 × (0.475 cm)² × 1.91 cm = 1.075 cm³