Final answer:
With the given radius of 6cm and volume of 550cm³, the length of the cylinder is approximately 4.86 cm to two decimal places.
Step-by-step explanation:
To calculate the length of the cylinder, we use the formula for the volume of a cylinder which is V = πr²h.
We rearrange the formula to solve for height (length), so it becomes h = V / (πr²).
Given that the cylinder has a radius of 6cm and a volume of 550cm³, we substitute these values into the formula:
h = 550cm³ / (π × (6cm)²)
After doing the computation:
h = 550cm³ / (π × 36cm²)
h = 550cm³ / (113.097cm²)
h ≈ 4.8637cm
Therefore, the length of the cylinder is approximately 4.86 cm when rounded to two decimal places.