Final answer:
The volume of a cylinder with a base radius of 2 and a height of 9 is 36π cubic units or approximately 113.04 cubic units using 3.14 for π.
Step-by-step explanation:
To calculate the volume of a cylinder with a base radius of 2 and a height of 9, you can use the formula V = πr²h. Plugging in the given values, the volume V is π × 2² × 9. This simplifies to π × 4 × 9, which equals 36π.
If we use 3.14 as an approximation for π, the volume would be 3.14 × 36, which equals 113.04 cubic units. So, the volume of the cylinder is 36π when the exact value of π is used, or approximately 113.04 cubic units when π is approximated as 3.14.