# PARAM VISIONS

All about civil construction knowledge- PARAM VISIONS

### How to calculate the volume of the dome slab? / Calculating concrete volume of the semi-spherical slab.

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

= 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]

=  [2 × 3.142 × ( 3.15 )2]

= 62.35 sq m.

= 671.16 sq ft.

Thank you for going through these calculation steps. Have a good day 😄.