Answer:
The surface area of a conical grain storage tank that has a height of 41 meters and a diameter of 16 meters is[tex]1250.9 m^2[/tex]
Explanation:
Height of the conical grain storage tanks =41 m
Diameter of the conical grain storage tank=16 m
Hence radius = diameter/2=8 m
Suppose h is height and r is radius
Formula used:
Surface area of a cone= A
A= [tex]\pi rl +\pi r^2[/tex]
= πr(l+r)
Where[tex]l =(r^2+h^2)^1^/^2[/tex]
=[tex]\pi r(r+(h^2+r^2)^1^/^2)[/tex]
Putting the values
=[tex]3.14 \times 8\left(8+\left(41^{2}+8^{2}\right)^{1 / 2}\right)[/tex]
=1250.9368
=[tex]1250.9 m^2[/tex]
[tex]1250.9 m^2[/tex] is the surface area of a conical grain storage tank