The diagram show a closed structure in the shape of a half cylinder. the diameter of each base is 16 feet. the length of the structure is 50 feet. find the surface area of the entire structure.

The surface area is

Step-by-step explanation:

we know that

The surface area of the half cylinder is equal to

where

B is the area of the half circle

P is the perimeter of the half circle plus the diameter of circle

L is the length of the structure

Find the area B

The area of the half circle is

we have

-----> the radius is half the diameter

substitute

Find the value of P (the perimeter of the half circle plus the diameter of circle)

we have

substitute

Find the surface area

substitute

see the attached figure to better understand the problem

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step-by-step explanation: