Question

I need help on number 18

Answer 1

Volume = 35185.8
`km^(3)`

Explanation:

Recall the formula for the volume of a cone:
`Volume = \pi  R^(2)  (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) (21)/(3) = \pi  1600 (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)`