The cost to fill the building with road salt is $ 8591.04
<em><u>Solution:</u></em>
Given that, A cone-shaped building has a height of 11.4 meters and a base with a diameter of 12 meters
Therefore,
Height = 11.4 meters
diameter = 12 meters
radius = 6 meters
<em><u>Let us first find the volume of cone</u></em>
<em><u>The volume of cone is given as:</u></em>
Where, "V" is the volume of cone
"h" and "r" are height and radius of cone
<em><u>Substituting the given values, we get</u></em>
Thus volume of cone is 429.552 cubic meters
<em><u>The building will be filled with road salt that costs $20 per cubic meter</u></em>
1 cubic meter = $ 20
<em><u>Therefore, for 429.552 cubic meters, we get,</u></em>
Thus cost to fill the building with road salt is $ 8591.04