Question

A steel pipe in the shape of a right circular cylinder is used for drainage under a road. The length of the pipe is 12 feet, and its diameter is 36 inches. The pipe is open at both ends. A wire screen in the shape of a square is attached at one end of the pipe to allow water to flow through but to keep animals from getting inside the pipe. The length of the diagonals of the screen are equal to the diameter of the pipe. The figure represents the placement of the screen at the end of the pipe.​

Answer 1

C

Explanation:

since the diagonal of the square is 36 inches:

by pythagoras:

c--> side

c^2 + c^2 = 36^2

2c^2 = 1296

c^2 = 648

c = 25.46 inches

thus the perimeter:

4c = 4 x 25.46 = 102

and the area:

c^2 = 648