Solid geometry › Cylinders, cones and spheres › Changing cylinder dimensions

Height of a pile of three pipes

High school · ●●○○○ 20 pts

Three identical cylindrical pipes, each with diameter 10 cm10\text{ cm}, are stacked so that each pipe touches the other two: two lie side by side on the ground and the third rests on top of them, touching both. Let hh be the height of this pile, from the ground to the top of the highest pipe. Find hh in cm. Round to two decimal places.

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circle packingequilateral triangle30-60-90 triangles