Respuesta :

Answer:

1172.08 square inches

Step-by-step explanation:

Total surface area is area of all the surfaces.

Cylinder:

Top surface = πr^2 = π(4)^2 = 16(3.14) = 50.24

Lateral Surface = 2πrh = 2π(4)(9) = 72π = 72(3.14) = 226.08

Rectangular Prism:

2 sides = 2*(11*11) = 242

front and back = 2*(16*11) = 352

bottom = 16 * 11 = 176

Top part (it is top rectangle - bottom of cylinder) = (16*11) - (π(4)^2) = 125.76

Adding all up, we get:

50.24 + 226.08 + 242 + 352 + 176 + 125.76 = 1172.08 square inches