Find the surface area of a conical grain storage tank that has a height of 41 meters and a diameter of 16 meters. Round the answer to the nearest square meter.

Respuesta :

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