Final answer:
The volume of a cylinder with a base diameter of 18cm and a height of 8cm is approximately 2035.7 cubic cm, after approximation and rounding to the nearest tenths place.
Step-by-step explanation:
To find the volume of a cylinder, we use the formula V = πr²h, where 'V' is the volume, 'r' is the radius of the base, and 'h' is the height of the cylinder. Since the diameter is given as 18 cm, we find the radius by dividing the diameter by 2, which is 9 cm. Plugging the values into the formula, we get:
V = π × (9 cm)² × 8 cm
V = π × 81 cm² × 8 cm
V = π × 648 cm³
Using the approximation π ≈ 3.1416, we get:
V ≈ 3.1416 × 648 cm³
V ≈ 2035.73888 cm³
When rounded to the nearest tenths place, the volume is 2035.7 cm³.