Answer:
[tex]V=35.185,8 km^{3}[/tex]
Step-by-step explanation:
The volume of a cone can be calculated using the following formula:
[tex]V=\frac{\pi . r^{2}.h }{3} \\R= radius\\H=height[/tex]
We know that the radius is the half of the figure's diameter. In this excercise:
[tex]r= 80 km : 2 = 40 km[/tex]
Height in this case is 21 km.
So supplanting we get:
[tex]V=\frac{\pi.(40km)^{2}.21km }{3}[/tex]
[tex]V=\frac{\pi.1600km^{2}.21km }{3}[/tex]
[tex]V=\frac{\pi.1600km^{2}.21km }{3}[/tex]
We have in total three "km"'s, and that is equal to [tex]km^{3}[/tex]. Remember that when we want to calculate a volume, the unit has to be raised to the third power.
[tex]V=\frac{\105.557,5 km^{3} }{3}[/tex]
[tex]V=35.185,8 km^{3}[/tex]
