Question

I need help on number 18

Answer 1

Answer:

Volume = 35185.8 $km^{3}$

Step-by-step explanation:

Recall the formula for the volume of a cone: $Volume = \pi R^{2} \frac{h}{3}$

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:

$Volume = \pi 40^{2} \frac{21}{3} = \pi 1600 \frac{21}{3} = \pi 1600 (7) = 35185.83772...$

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 $km^{3}$