Final answer:
The volume of the cylinder with a radius of 8 cm and a height of 17 cm is approximately 3417.0 cm³, rounded to one decimal place. This value does not match any of the provided options, suggesting an error in the options or the question's dimensions.
Step-by-step explanation:
To calculate the volume of a cylinder, the formula V = πr²h is used, where V is the volume, r is the radius, and h is the height of the cylinder. Given the dimensions of the cylinder are 8 cm for the radius and 17 cm for the height, we can plug these into the formula:
V = π × (8 cm)² × 17 cm
First, calculate the area of the base (the circle part of the cylinder):
Area = π × (8 cm)² = 3.1416 × 64 cm² ≈ 201.06 cm²
Next, multiply this area by the height to get the volume:
V = 201.06 cm² × 17 cm ≈ 3417.02 cm³
When rounded to one decimal place, the volume is approximately 3417.0 cm³, which is not one of the provided options. Therefore, an error might have occurred in the question's options or in the initial given dimensions. It's important to cross-check with the given options or reconfirm the dimensions.