Final answer:
The volume of the cylinder with a radius of 2 units and a height of 5 units is calculated using the formula V = πr²h, resulting in a volume of 62.8 cm³ when rounded to the nearest tenth. Hence, option (B) is correct.
Step-by-step explanation:
To find the volume of a cylinder, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
Given that the radius is 2 units and the height is 5 units, we can substitute these values into the formula:
V = 3.142 × (2 units)² × 5 units
V = 3.142 × 4 units × 5 units
V = 62.84 units³
Rounding to the nearest tenth, the volume of the cylinder is approximately 62.8 cm³. Therefore, the correct answer is option B. 62.8 cm³.