Final answer:
The area of the two bases of the cylinder is approximately 2.208 cm².
Step-by-step explanation:
The area of the two bases of a cylinder can be found using the formula for the area of a circle, which is A = πr². Since the cylinder has two bases, we need to find the area of each base and then add them together.
Based on the information given, the volume of the cylinder is 9.278 cm³. Using the formula V = πr²h, we can solve for the radius (r):
9.278 cm³ = 3.142 × r² × 5.25 cm
r² = 9.278 cm³ / (3.142 × 5.25 cm)
r² ≈ 0.3518 cm²
r ≈ √(0.3518 cm²)
Now that we know the radius, we can find the area of each base:
Area of one base = π × (0.5936 cm)²
Area of one base ≈ 1.104 cm²
Since there are two bases, the area of the two bases is approximately 2.208 cm².