To find the surface area of the oatmeal carton, we need to calculate the lateral surface area of the cylinder and the area of the top circle.
Lateral surface area:
Lateral surface area = height x circumference
Lateral surface area = 9 in x (π x diameter)
Lateral surface area = 9 in x (3.14 x 7 in)
Lateral surface area ≈ 198.66 in²
Top circle area:
Top circle area = π x (radius)²
Top circle area = 3.14 x (7 in / 2)²
Top circle area ≈ 38.48 in²
Total cardboard area:
Total cardboard area = lateral surface area + 2 x top circle areas (since there are two ends)
Total cardboard area = 198.66 in² + 2 x 38.48 in²
Total cardboard area ≈ 275.62 in²
Therefore, approximately 275.6 square inches of cardboard are used to make the oatmeal carton.
A cylindrical carton of oatmeal has a diameter of 7 in and is 9 in tall. If all surfaces except the top are made of cardboard, how much cardboard is used to make the oatmeal carton? Round your answer to the nearest tenth. (1 point)
1 answer
1 answer