So basically we need to find the volume of this cone-shaped building first.
The formula for the volume of a cone:
[tex]V = \pi r^{2}\frac{h}{3} [/tex]
Where r is the radius and h is the height.
1.) Plug in 11.4 for h because 11.4 is the height:
[tex]V = \pi r^{2} \frac{11.4}{3} [/tex]
2.) The diameter is 12, and the radius is just half of that. So the radius is 6. Plug in 6 for r because 6 is the radius:
[tex]V = \pi 6^{2} \frac{11.4}{3} [/tex]
3.) Plug in 3.14 for π because the directions told you to:
[tex]V = 3.14*6^{2} * \frac{11.4}{3} [/tex]
4.) Simplify:
[tex]V = 3.14 * 36 * 3.8[/tex]
5.) Simplify further:
V = 429.552
So the volume of the building is 429.552 meters cubed.
If 1 cubic meter = $20, how much money will 429.552 cubic meters cost?
Multiply 429.552 on both sides:
1 cubic meter (*429.552) = $20 (*429.552)
429.552 cubic meter = $8591.04
That means that 429.552 cubic meters will cost a total of $8591.04 :)
