Answer: Therefore, the volume of the can is 235.5 cm^3. The units of the answer are cubic centimeters (cm^3), which represent the three-dimensional space occupied by the can.
Explanation:
To calculate the volume of the can, we can use the formula V = πr^2h, where V represents the volume, π is a mathematical constant approximately equal to 3.14, r is the radius, and h is the height of the can.
Given that the diameter of the can is 5 cm, we can calculate the radius by dividing the diameter by 2.
radius = diameter / 2 = 5 cm / 2 = 2.5 cm
Now we have the radius as 2.5 cm and the height as 12 cm. We can substitute these values into the formula to find the volume.
V = π(2.5 cm)^2(12 cm)
= 3.14 * (2.5 cm)^2 * 12 cm
= 3.14 * 6.25 cm^2 * 12 cm
= 235.5 cm^3
Therefore, the volume of the can is 235.5 cm^3. The units of the answer are cubic centimeters (cm^3), which represent the three-dimensional space occupied by the can.