Final answer:
To find the volume of coconut milk a can can hold, the formula V = πr²h is used with the given height of 12 cm, and radius of 4 cm (half the diameter, which is 8cm), resulting in a volume of 576 cm³ when using 3 for π.
Step-by-step explanation:
To calculate how much coconut milk is in the can using the formula V = πr²h, we first need to know that 'r' stands for the radius of the cylinder, which is half of the diameter, and 'h' stands for the height of the cylinder. The diameter is given as 8 cm, so the radius (r) is 4 cm. The height (h) is given as 12 cm. Substituting these values into the formula, we use 3 for π as directed:
V = πr²h
= 3 × (4 cm)² × 12 cm
= 3 × 16 cm² × 12 cm
= 3 × 192 cm³
= 576 cm³
Therefore, the can can hold approximately 576 cubic centimeters of coconut milk.