Answer:
The paint needed is the surface area of the cylinder is 296.73 cm².
Explanation:
Circumference = diameter × π = 7 cm × 3.14 = 21.98 cmLateral surface area = height × circumference = 10 cm × 21.98 cm = 219.80 cm²The area of each circular top/bottom is given by:Area of circle = π × radius²The radius is half of the diameter, which is 7/2 = 3.5 cm.Area of each circle = π × (3.5 cm)² = 38.48 cm²The total surface area of the soup can is the sum of the lateral surface area and the two circular areas:Total surface area = Lateral surface area + 2 × Area of each circleTotal surface area = 219.80 cm² + 2 × 38.48 cm²Total surface area = 296.76 cm² Therefore, the answer is approximately 296.73 cm².