Let us calculate the volume of the dome slab as shown below.
Now, let us observe a section of a dome slab having a semi-spherical shape as shown below.
Given data:
Slab thickness = 0.15m. = 150mm.
Outer diameter of dome slab = D = 6.3m.
Height of dome slab = Inner radius = 3m.
Inner radius of slab = r = 3m.
Calculation:
The volume of the semi-spherical slab is calculated by the formula
= [2/3 × π × { ( R )3- ( r )3 }]
Where
R = outer radius
= D/2 = [6.3m ÷ 2] = 3.15m.
The volume of the semi-spherical slab
= [2/3 × 3.142 × { ( 3.15m. )3- ( 3m )3 }]
= [2/3 × 3.142 × { 31.256 - 27}]
= [ 2.094 × 4.256 ]
= 8.912 cum.
= 314.72 cu ft.
The outer surface area of the semi-spherical dome slab
= [2 × π × ( R )2]
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Thank you for going through these calculation steps❤. Have a good day 😄.
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