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  3. A tank in the shape of a right circular cylinder is enclosed by walls and fencing. The figure shows a horizontal cross section o

A tank in the shape of a right circular cylinder is enclosed by walls and fencing. The figure shows a horizontal cross section o

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问题
A tank in the shape of a right circular cylinder is enclosed by walls and fencing. The figure shows a horizontal cross section of the tank and the enclosure, where the circle representing the tank is tangent to each of the four lines segments representing the sides of the enclosure. The lengths of the fencing represented by line segments AD and CD are 17.5 meters and 14.5 meters, respectively, and the length of the wall represented by line segment BC is 7 meters. Approximately what is the circumference of the tank in meters.
选项 A、29
B、31
C、32.5
D、34
E、37.5
答案B
解析 过C作AD的垂线，垂足为E，则AE=BC=7，DE=10.5，CD=14.5，故CE=10，即为圆的直径长度，圆周长为10π≈31.4米。故答案为B。
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