Final answer:
To find the height of the cylinder, rearrange the formula for the volume and plug in the given values. The height of the cylinder is approximately 189.32 centimeters.
Step-by-step explanation:
To find the height of the cylinder, we can rearrange the formula for the volume of a cylinder:
V = πr²h
First, let's convert the radius to centimeters. Since 1 millimeter is equal to 0.1 centimeters, the radius of 11 millimeters is equal to 1.1 centimeters. Now we can plug in the given values:
6458.98 = 3.142 × (1.1 cm)² × h
Simplifying the equation and solving for h, we get:
h = 6458.98 / (3.142 × (1.1 cm)²)
Calculating this, we find that the height of the cylinder is approximately 189.32 centimeters.