Answer:
(D) 1155.52 cm^2
Explanation:
To completely cover the cylindrical container, Maria needs to cover both the top and bottom circular faces, as well as the lateral surface.
The area of each circular face can be found using the formula for the area of a circle:
A = πr^2.
Therefore, the area of both circular faces is:
2(π)(8 cm)^2 = 401.92 cm^2
The area of the lateral surface can be found using the formula for the lateral surface area of a cylinder: A = 2πrh.
Therefore, the area of the lateral surface is:
2(π)(8 cm)(15 cm) = 753.6 cm^2Adding these two areas gives the total surface area of the cylinder that needs to be covered with foil:
401.92 cm^2 + 753.6 cm^2 = 1155.52 cm^2