Final answer:
The volume of a cylinder with a radius of 4 units and a height of 12 units is calculated using the formula V = πr²h, giving an approximate volume of 603.2 cubic units, which corresponds to option A.
Step-by-step explanation:
The student is asking about the volume of a regular solid, which in this case sounds like a cylinder with a radius of 4 units and a height of 12 units. The formula to find the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder.
To find the volume, we substitute the given values into the formula:
V = π × (4 units)² × (12 units) = π × 16 units² × 12 units = π × 192 units³ ≈ 3.1416 × 192 units³ ≈ 603.2 units³.
The closest approximation to the volume of the solid is therefore option A) 603.2 cubic units.