First, you'll need to convert 30% into a decimal. You can do this by moving 30's decimal place twice to the left to get 0.30. Now you'll need to multiply 0.30 with 160km to get 30% of 160. Once you've done that you should have 48. Now to increase 160km by 30%, you'll need to add 48 to 160 to increase it by 30%. Once you've done that, you should have an answer of 208km.
From the diagram, we can see that the radius of the cone is 8cm and the height of the cone is 15cm. We then just plug these numbers into the formula and simplify: The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.