Final answer:
To calculate the volume of wood in the artist doll, we need to use the formula for the volume of a cylinder. Given the diameter of the arms and legs, we can calculate the volume of one cylinder and then multiply it by 2 to get the total volume of wood in the doll.
Step-by-step explanation:
To find the volume of wood in the artist doll, we need to calculate the volume of the arms and legs which are represented by cylinders. The formula for calculating the volume of a cylinder is V = πr²h, where r is the radius and h is the height of the cylinder. Given that the diameter of the arms and legs are 0.75 cm each, the radius would be half of that, which is 0.375 cm. Assuming the height of the arms and legs is the same, we can calculate the volume of one cylinder using the formula V = 3.142 × (0.375 cm)² × h.
For example, if the height of the arms and legs is 5 cm, the volume of one cylinder would be V = 3.142 × (0.375 cm)² × 5 cm = 2.794 cm³. If both arms and legs have the same volume, the total volume of wood in the artist doll would be twice that, which is 2 × 2.794 cm³ = 5.588 cm³.