Final answer:
The volume of the cylindrical soup can with a diameter of 3.6 inches and a height of 6.1 inches is approximately 62.17 cubic inches, calculated using the formula V = πr²h.
Step-by-step explanation:
The volume of a cylindrical soup can is calculated using the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder. Since the diameter of the can is given as 3.6 inches, the radius is half of the diameter, which is 1.8 inches. After finding the radius, we apply the formula:
V = π(1.8 in)²(6.1 in)
To find the volume of the can in cubic inches, calculate:
V = 3.14159 × (1.8 in)² × 6.1 in
V = 3.14159 × 3.24 in² × 6.1 in
V = 3.14159 × 19.7564 in³
V = 62.17207796 in³
So, the volume of the can, to a reasonable degree of accuracy considering significant digits in the given measurements, is approximately 62.17 in³.