Final answer:
Using the formula for a cylinder's volume, V = πr²h, with a radius of 4 cm and a height of 11 cm, the volume is approximately 552 cm³ to the nearest integer, which is not among the choices given.
Step-by-step explanation:
To calculate the volume of a cylinder, we use the formula V = πr²h, where 'V' represents volume, 'r' stands for the radius of the cylinder's base, and 'h' represents the height (or length) of the cylinder. In this case, the cylinder has a radius of 4 cm and a height of 11 cm. Plugging those values into the formula gives us:
V = π(4 cm)²(11 cm)
V ≈ 3.14159 × (16 cm²) × 11 cm
V ≈ 3.14159 × 176 cm²
V ≈ 552.3364 cm³
To the nearest integer, the volume is 552 cm³, which means the correct answer is not listed among the provided options (A, B, C, D).