Final answer:
The volume of a soup can with a height of 4 inches and a diameter of 3 inches is calculated using the volume formula for a cylinder, V = πr²h. The calculated volume is closest to 28.27 cubic inches.
Step-by-step explanation:
To find the volume of a soup can with a height of 4 inches and a diameter of 3 inches, we use the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height. Since the diameter of the soup can is 3 inches, the radius would be half of that, which is 1.5 inches. Substituting the values into the formula gives us:
V = π(1.5 inches)²(4 inches) = π(2.25 square inches)(4 inches) = π(9 cubic inches) = 28.27 cubic inches (using π as approximately 3.14159).
Therefore, the volume of the soup can is closest to 28.27 cubic inches.