# Cone, Tent, and Cylinder

Cone, Tent, and Cylinder

1,1,3,2,1 is longer than depth of object.

The tent is formed by joining the points along a ridge line to a circle below. The lines joining the ridge to the circle lie in the plane perpendicular to the ridge.

The cone is formed by joining a point to the base circle and the cylinder joins the points of an elevated circle to the base circle, so the tent is in some sense in between those two more familiar solids.

Another intermediate property is that the cone, tent, and cylinder have volumes πh, πh, and .

1

3

2

r

1

2

2

r

πh

2

r

The horizontal cross sections of the tent are ellipses; the cross sections perpendicular to the ridge are isosceles triangles with base and constant height .

2sin(r)

h