Answer:
Volume = 35185.8 [tex]km^{3}[/tex]
Step-by-step explanation:
Recall the formula for the volume of a cone: [tex]Volume = \pi R^{2} \frac{h}{3}[/tex]
Where R is the radius of the cone's circular base (in your case half of 80 km,(that is 40 km)
And h stands for the height of the cone (in your case 21 km)
We replace such in the formula and calculate its final value:
[tex]Volume = \pi 40^{2} \frac{21}{3} = \pi 1600 \frac{21}{3} = \pi 1600 (7) = 35185.83772...[/tex]
We round it to the number of decimals your problem request (let's say to one decimal) and also include the cubic units:
Volume = 35185.8 [tex]km^{3}[/tex]
