Why dome house can save energy at least 20%

Why dome house can save energy at least 20%?

It's simple: the sphere has the smallest surface area among all figures of equal capacity. School course of geometry, nothing more...

Take for example, the test house area of 50 square meters. Rectangular and spherical. Insulation — the same.

The surface area of a rectangular house (walls+flat roof) — 2 6X10+2,6X10+2,6x5+2,6x5+10x5=128 square meters.

The volume of a rectangular house with a ceiling height of 2.6 meters – 10х5х2,6=130 cubic meters.

Ceiling height of 2.6 meters is selected in order to equalize the internal volumes of the two objects.

The area of half the surface of a sphere (dome house) is S=2πR2 is 100.5 square meters. Volume of a sphere forumla — V=(4πR3)/3 — 268 cubic meters. Radius R=4 meters.

The volume of the half sphere (dome house) is 134 cubic meter.

 

Have 128,0 sq. meters surface area of rectangular houses against 100,5 sq. meter surface area of the dome home.

Less costs for heating (because of lower loss dissipation) is at least 20%.

It is obvious that the construction of heating system will require less cost because less power is required.

If less heat is dissipated and less heat penetrates less on air conditioning costs.

источник:geodesic.com

Source: /users/1080