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Find the surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 20 meters. Round the answer to the nearest square meter. . choices:3,028 m2. 3,971 m2. 1,357 m2. 1,671 m2

Respuesta :

The surface area of a right circular cone is SA =[tex]\pi r (r + \sqrt{ h^{2} + r^{2} } )[/tex]

The diameter (d) is equal to 20 meters and half of it is equal to the radius which is 10 meters.

The height (h) of the tank is equal to 42 meters.

Substituting the given to the equation:

SA = [tex]\pi 10 (10 + \sqrt{ 42^{2} + 10^{2} } )[/tex]
= 1670.51 square meters or the closest answer is 1,671 m2

The surface area of the conical grain storage tank is 1,671 m².

What is the surface area?

The surface area of a cone is the total area that is covered by the surface of the cone.

Surface area =πr(r+√h²+r²)

Where:

  • π = 3.14
  • h = height
  • r = radius = diameter / 2 = 20 / 2 = 10 m

3.14 x 10(10 + √100 + 1764 =  1,671 m²

To learn more about a cone, please check: https://brainly.com/question/13705125

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