Question

What is the surface area of a conical (cone) grain storage tank that has a height of 24 meters and a diameter of 16 meters?

Answer 1

Surface area of cone is a sum of surface of its base and surface of its mantle.

Surface of its base is a circle which surface we will calculate like this:
Sb = pi*r^2 where r is d/2
Sb = 201m^2

Surface of mantle we calculate by:
Sm = pi*l*r where l is length of side of cone.

l =
`√(r^2 + H^2)` = 25.3
Sm = 635.8m^2

Total suface is:
Sb + Sm = 836.8m^2