Final answer:
The volume of uncooked dough needed to fill a pan shaped like half a cylinder can be found by calculating the full cylindrical volume and then dividing by two. The formula V = πr²h is used, where V is the volume, π is pi (approximately 3.14), r is the radius, and h is the height.
Step-by-step explanation:
The student is asking for help in finding the volume of a piece of uncooked dough that would fit into a pan shaped like half of a cylinder. To calculate the volume of a full cylinder, we use the formula V = πr²h, where V is the volume, π (pi) is approximately 3.14, r is the radius, and h is the height.
Since the pan in question is only half a cylinder, we'd need to calculate the full cylindrical volume and then divide that number by two. However, the question does not provide the necessary measurements for the pan. If you can supply the radius and height of the pan, or its full diameter and length, then we could calculate the volume. For example, if the radius were 15 cm (half the diameter of 30 cm) and the length were 60 cm, the calculation would look like this:
V = πr²h
V = 3.14 × (15 cm)² × 60 cm
V = 3.14 × 225 cm² × 60 cm
V = 42,390 cm³
Since we need only half of this for the half cylinder, we divide by 2:
Volume of half cylinder = 42,390 cm³ / 2
Volume of half cylinder = 21,195 cm³
This would be the volume of uncooked dough needed to fill the pan.