%20(3).png)
As you can observe in the above diagram, the stone pitching covers the quadrantal surface area of a cone.
i.e. 1/4th the lateral surface area of a cone.
%20(5).png)
Now, the lateral surface area of the cone is calculated by the formula = πrl
Where,
l = taper length.
r = radius of the cone.
h = height of the cone.
Let us observe the detailed drawing of the stone pitching as shown below.
%20(3).png)
Given data:
Height of the stone pitching = h = 1.7m.
The radius of the pitching quadrant = r = 2.2m.
The thickness of stone pitching = 300mm. = 0.3m.
Calculation:
The surface area of stone pitching
= [1/4th the lateral surface of a cone]
= [1/4 х πrl]
Here,
l² = [r² + h²]
(By Pythagoras' theorem.)
l = [√ (r² + h²)]
= [√ (2.2² + 1.7²)]
= [√ (4.84+ 2.89)]
l = [ √ 7.73]
l = 2.78m.
The surface area of stone pitching
= [1/4 х πrl]
= [1/4 х 3.142 х 2.2 х 2.78]
= 4.804 m²
The volume of stone pitching
= [ surface area х thickness of pitching]
= [ 4.804m² х 0.3m.]
= 1.441 m³
To go through all types of quantity estimate articles, click here.
Thank you for going through these calculation steps❤. Have a good day 😄.
No comments:
Post a Comment