~~ Hodge Podge Lodge ~~

Some Basic Math and Estimates

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( with due apologies to the architect and engineers )
NOTE:   all figures have been rounded up to the next higher whole number Inside Dome Shell Outside Dome Shell
Diameter - Ground Level 48 ft. 50 ft.
Radius - Ground Level 24 ft. 25 ft.

~~ Circle ~~

( 'Pi' = P = 3.1415 )
( radius = R )

Circumference of Dome = 2PR 151 ft. 158 ft.
Square Footage of 1st Floor of Dome = PR² 1,810 sq. ft. 1,964 sq. ft.

~~ A Full Sphere ~~

Surface Area = 4PR² 7,239 sq. ft. 7,854 sq. ft.
Volume = (4PR³) / 3 57,905 cu. ft. 65,448 cu. ft.

~~ This DOME is 1/2 of a Sphere ~~

Dome's Surface Area = 2PR² 3,620 sq. ft. 3,927 sq. ft.
Dome's Volume = (2PR³) / 3 28,953 cu. ft. 32,724 cu. ft.
~~ Cement for DOME shell ~~

NOTE:    the outside surface area of the dome shell was substituted as raw cubic feet.
Then I applied a "Biddie" factor of 63% of the estimated cubic feet - it was based upon a rough average of the thickness of the cement in the dome shell (At least, I can be creative ....)
Cubic Yards = cubic feet / 27
( .63 )( 3927 / 27 )
92 cu. yd.

Cost of Cement
( depends upon vol.;   starting est. of $105 per cu. yd. )
 
$9,960

~~ Cement for DOME floor ~~

NOTE:    The surface area of the dome's floor was substituted as raw cubic feet.
Then I applied a "Biddie" factor of 40% of the estimated cubic feet - it was based upon a rough average of the thickness of the cement in the dome floor.
Cubic Yards = cubic feet / 27
( .4 )( 1810 / 27 )
27 cu. yd.
Cost of cement
( approx. $105 per cu. yd. )
$2835

~~ Cement for DOME foundation ~~

   NOTE:    no rough estimate yet
Cubic Yards of cement ??? cu. yd.
Cost of cement
( approx. $105 per cu. yd. )
$ ?????.??

~~ Additional Cement ~~

Utility Room and Floor, Other Augments, Rain lip, Porches, Garage Floor, Vent-i-Lite Cap

   NOTE:    no rough estimate yet
Cubic Yards of cement ??? cu. yd.
Cost of cement
( approx. $105 per cu. yd. )
$ ?????.??

~~ Rebar for DOME shell ~~

Lighter weight rebar for Shell ???
Heavier weight rebar for Shell ???
Rebar for Dome Floor, Utility Room, Porches, Garage ???

~~ Monolithic Construction Crew ~~

???

NOTE:    The accurate figures will be reported as they are developed.


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