Final answer:
a) The capacity of the tin is 275.84 cm³. b) The density of the polish is 1.086 g/cm³.
Step-by-step explanation:
a) To calculate the capacity of the tin, we need to find its volume. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height. In this case, the diameter of the tin is 10 cm, so the radius is 5 cm. The height of the tin is 3.5 cm. Plugging these values into the formula, we get V = 3.142 × (5 cm)² × 3.5 cm = 275.84 cm³. Therefore, the capacity of the tin is 275.84 cm³.
b) To calculate the density of the polish, we need to divide the mass of the polish by its volume. Given that the tin contains 300 grams of polish, and we already calculated the volume to be 275.84 cm³, we can use the formula density = mass/volume. Plugging in the values, we get density = 300 g / 275.84 cm³ = 1.086 g/cm³. Therefore, the density of the polish is 1.086 g/cm³.