Steinmetz Intersection of Cylinders—The Perpendicular Intersection of Two Identical Cylinders

Exercises

Exercise 1

Suppose a pumping fixture is required to connect two cylindrical pipes coming together at right angles (see illustration). If each cylinder part of the fixture is six inches long with a radius of one-half inch, what is the TOTAL volume of the fixture?

two intersecting cylinders

Hint

Solution

three intersecting cylinders

Exercise 2

Suppose a junction box for electrical conduit is to be made from three cylinders joining on their axes at equal angles (see illustration). What is the volume of the intersection?

Solution