Question

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

Answer 1

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

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